diff --git a/bridges/bin/runtime-common/src/messages_benchmarking.rs b/bridges/bin/runtime-common/src/messages_benchmarking.rs
index 1588c77633e230c796eac7dab471703e6b18aa39..028172e7ab42f65aa288b17d11848c22b10f7260 100644
--- a/bridges/bin/runtime-common/src/messages_benchmarking.rs
+++ b/bridges/bin/runtime-common/src/messages_benchmarking.rs
@@ -25,7 +25,7 @@ use crate::{
 		AccountIdOf, BridgedChain, HashOf, HasherOf, MessageBridge, ThisChain,
 	},
 	messages_generation::{
-		encode_all_messages, encode_lane_data, grow_trie, prepare_messages_storage_proof,
+		encode_all_messages, encode_lane_data, grow_trie_leaf_value, prepare_messages_storage_proof,
 	},
 };
 
@@ -204,11 +204,12 @@ where
 	{
 		let mut trie =
 			TrieDBMutBuilderV1::<HasherOf<BridgedChain<B>>>::new(&mut mdb, &mut root).build();
-		trie.insert(&storage_key, &params.inbound_lane_data.encode())
+		let inbound_lane_data =
+			grow_trie_leaf_value(params.inbound_lane_data.encode(), params.size);
+		trie.insert(&storage_key, &inbound_lane_data)
 			.map_err(|_| "TrieMut::insert has failed")
 			.expect("TrieMut::insert should not fail in benchmarks");
 	}
-	root = grow_trie(root, &mut mdb, params.size);
 
 	// generate storage proof to be delivered to This chain
 	let storage_proof = record_all_trie_keys::<LayoutV1<HasherOf<BridgedChain<B>>>, _>(&mdb, &root)
diff --git a/bridges/bin/runtime-common/src/messages_generation.rs b/bridges/bin/runtime-common/src/messages_generation.rs
index aec97c22800470decf47ba25872e1e0286323a40..29a869a5c871a796aa7aadd12333559e42dbc984 100644
--- a/bridges/bin/runtime-common/src/messages_generation.rs
+++ b/bridges/bin/runtime-common/src/messages_generation.rs
@@ -25,7 +25,6 @@ use bp_messages::{
 };
 use bp_runtime::{record_all_trie_keys, RawStorageProof, StorageProofSize};
 use codec::Encode;
-use sp_core::Hasher;
 use sp_std::{ops::RangeInclusive, prelude::*};
 use sp_trie::{trie_types::TrieDBMutBuilderV1, LayoutV1, MemoryDB, TrieMut};
 
@@ -65,10 +64,15 @@ where
 			TrieDBMutBuilderV1::<HasherOf<BridgedChain<B>>>::new(&mut mdb, &mut root).build();
 
 		// insert messages
-		for nonce in message_nonces {
+		for (i, nonce) in message_nonces.into_iter().enumerate() {
 			let message_key = MessageKey { lane_id: lane, nonce };
 			let message_payload = match encode_message(nonce, &message_payload) {
-				Some(message_payload) => message_payload,
+				Some(message_payload) =>
+					if i == 0 {
+						grow_trie_leaf_value(message_payload, size)
+					} else {
+						message_payload
+					},
 				None => continue,
 			};
 			let storage_key = storage_keys::message_key(
@@ -94,46 +98,22 @@ where
 			storage_keys.push(storage_key);
 		}
 	}
-	root = grow_trie(root, &mut mdb, size);
 
 	// generate storage proof to be delivered to This chain
 	let storage_proof = record_all_trie_keys::<LayoutV1<HasherOf<BridgedChain<B>>>, _>(&mdb, &root)
 		.map_err(|_| "record_all_trie_keys has failed")
 		.expect("record_all_trie_keys should not fail in benchmarks");
-
 	(root, storage_proof)
 }
 
-/// Populate trie with dummy keys+values until trie has at least given size.
-pub fn grow_trie<H: Hasher>(
-	mut root: H::Out,
-	mdb: &mut MemoryDB<H>,
-	trie_size: StorageProofSize,
-) -> H::Out {
-	let (iterations, leaf_size, minimal_trie_size) = match trie_size {
-		StorageProofSize::Minimal(_) => return root,
-		StorageProofSize::HasLargeLeaf(size) => (1, size, size),
-		StorageProofSize::HasExtraNodes(size) => (8, 1, size),
-	};
-
-	let mut key_index = 0;
-	loop {
-		// generate storage proof to be delivered to This chain
-		let storage_proof = record_all_trie_keys::<LayoutV1<H>, _>(mdb, &root)
-			.map_err(|_| "record_all_trie_keys has failed")
-			.expect("record_all_trie_keys should not fail in benchmarks");
-		let size: usize = storage_proof.iter().map(|n| n.len()).sum();
-		if size > minimal_trie_size as _ {
-			return root
-		}
-
-		let mut trie = TrieDBMutBuilderV1::<H>::from_existing(mdb, &mut root).build();
-		for _ in 0..iterations {
-			trie.insert(&key_index.encode(), &vec![42u8; leaf_size as _])
-				.map_err(|_| "TrieMut::insert has failed")
-				.expect("TrieMut::insert should not fail in benchmarks");
-			key_index += 1;
-		}
-		trie.commit();
+/// Add extra data to the trie leaf value so that it'll be of given size.
+pub fn grow_trie_leaf_value(mut value: Vec<u8>, size: StorageProofSize) -> Vec<u8> {
+	match size {
+		StorageProofSize::Minimal(_) => (),
+		StorageProofSize::HasLargeLeaf(size) if size as usize > value.len() => {
+			value.extend(sp_std::iter::repeat(42u8).take(size as usize - value.len()));
+		},
+		StorageProofSize::HasLargeLeaf(_) => (),
 	}
+	value
 }
diff --git a/bridges/bin/runtime-common/src/parachains_benchmarking.rs b/bridges/bin/runtime-common/src/parachains_benchmarking.rs
index e549e4f79b9f36ac4d81c4dbb2220ccc99d4efb9..aad53673c3ad3eb36b1b16b2543203e50986c794 100644
--- a/bridges/bin/runtime-common/src/parachains_benchmarking.rs
+++ b/bridges/bin/runtime-common/src/parachains_benchmarking.rs
@@ -19,7 +19,8 @@
 #![cfg(feature = "runtime-benchmarks")]
 
 use crate::{
-	messages_benchmarking::insert_header_to_grandpa_pallet, messages_generation::grow_trie,
+	messages_benchmarking::insert_header_to_grandpa_pallet,
+	messages_generation::grow_trie_leaf_value,
 };
 
 use bp_parachains::parachain_head_storage_key_at_source;
@@ -59,17 +60,21 @@ where
 			TrieDBMutBuilderV1::<RelayBlockHasher>::new(&mut mdb, &mut state_root).build();
 
 		// insert parachain heads
-		for parachain in parachains {
+		for (i, parachain) in parachains.into_iter().enumerate() {
 			let storage_key =
 				parachain_head_storage_key_at_source(R::ParasPalletName::get(), *parachain);
-			trie.insert(&storage_key.0, &parachain_head.encode())
+			let leaf_data = if i == 0 {
+				grow_trie_leaf_value(parachain_head.encode(), size)
+			} else {
+				parachain_head.encode()
+			};
+			trie.insert(&storage_key.0, &leaf_data)
 				.map_err(|_| "TrieMut::insert has failed")
 				.expect("TrieMut::insert should not fail in benchmarks");
 			storage_keys.push(storage_key);
 			parachain_heads.push((*parachain, parachain_head.hash()))
 		}
 	}
-	state_root = grow_trie(state_root, &mut mdb, size);
 
 	// generate heads storage proof
 	let proof = record_all_trie_keys::<LayoutV1<RelayBlockHasher>, _>(&mdb, &state_root)
diff --git a/bridges/modules/grandpa/src/benchmarking.rs b/bridges/modules/grandpa/src/benchmarking.rs
index 337943bee4edcd9a45973a018bfd52fd8aa6858b..f79deb7e7527cd36bf16195730c0e557972b1dbc 100644
--- a/bridges/modules/grandpa/src/benchmarking.rs
+++ b/bridges/modules/grandpa/src/benchmarking.rs
@@ -41,6 +41,7 @@
 
 use crate::*;
 
+use bp_header_chain::justification::required_justification_precommits;
 use bp_runtime::BasicOperatingMode;
 use bp_test_utils::{
 	accounts, make_justification_for_header, JustificationGeneratorParams, TEST_GRANDPA_ROUND,
@@ -66,13 +67,14 @@ const MAX_VOTE_ANCESTRIES_RANGE_END: u32 =
 	MAX_VOTE_ANCESTRIES_RANGE_BEGIN + MAX_VOTE_ANCESTRIES_RANGE_BEGIN;
 
 // the same with validators - if there are too much validators, let's run benchmarks on subrange
-fn validator_set_range_end<T: Config<I>, I: 'static>() -> u32 {
+fn precommits_range_end<T: Config<I>, I: 'static>() -> u32 {
 	let max_bridged_authorities = T::BridgedChain::MAX_AUTHORITIES_COUNT;
 	if max_bridged_authorities > 128 {
 		sp_std::cmp::max(128, max_bridged_authorities / 5)
 	} else {
 		max_bridged_authorities
-	}
+	};
+	required_justification_precommits(max_bridged_authorities)
 }
 
 /// Prepare header and its justification to submit using `submit_finality_proof`.
@@ -80,7 +82,10 @@ fn prepare_benchmark_data<T: Config<I>, I: 'static>(
 	precommits: u32,
 	ancestors: u32,
 ) -> (BridgedHeader<T, I>, GrandpaJustification<BridgedHeader<T, I>>) {
-	let authority_list = accounts(precommits as u16)
+	// going from precommits to total authorities count
+	let total_authorities_count = (3 * precommits - 1) / 2;
+
+	let authority_list = accounts(total_authorities_count as u16)
 		.iter()
 		.map(|id| (AuthorityId::from(*id), 1))
 		.collect::<Vec<_>>();
@@ -114,7 +119,7 @@ benchmarks_instance_pallet! {
 	// This is the "gold standard" benchmark for this extrinsic, and it's what should be used to
 	// annotate the weight in the pallet.
 	submit_finality_proof {
-		let p in 1 .. validator_set_range_end::<T, I>();
+		let p in 1 .. precommits_range_end::<T, I>();
 		let v in MAX_VOTE_ANCESTRIES_RANGE_BEGIN..MAX_VOTE_ANCESTRIES_RANGE_END;
 		let caller: T::AccountId = whitelisted_caller();
 		let (header, justification) = prepare_benchmark_data::<T, I>(p, v);
diff --git a/bridges/modules/grandpa/src/weights.rs b/bridges/modules/grandpa/src/weights.rs
index 44b4ebd37fbaf5e11d087bc83e2c37fd0266e5cc..8896674c0112f2ee752cf2fca7f4c1b58725798b 100644
--- a/bridges/modules/grandpa/src/weights.rs
+++ b/bridges/modules/grandpa/src/weights.rs
@@ -17,7 +17,7 @@
 //! Autogenerated weights for pallet_bridge_grandpa
 //!
 //! THIS FILE WAS AUTO-GENERATED USING THE SUBSTRATE BENCHMARK CLI VERSION 4.0.0-dev
-//! DATE: 2023-02-07, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
+//! DATE: 2023-03-01, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
 //! WORST CASE MAP SIZE: `1000000`
 //! HOSTNAME: `covid`, CPU: `11th Gen Intel(R) Core(TM) i7-11800H @ 2.30GHz`
 //! EXECUTION: Some(Wasm), WASM-EXECUTION: Compiled, CHAIN: Some("dev"), DB CACHE: 1024
@@ -93,19 +93,19 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	/// Proof: BridgeRialtoGrandpa ImportedHeaders (max_values: Some(14400), max_size: Some(68),
 	/// added: 2048, mode: MaxEncodedLen)
 	///
-	/// The range of component `p` is `[1, 5]`.
+	/// The range of component `p` is `[1, 4]`.
 	///
 	/// The range of component `v` is `[50, 100]`.
 	fn submit_finality_proof(p: u32, v: u32) -> Weight {
 		// Proof Size summary in bytes:
-		//  Measured:  `416 + p * (40 ±0)`
+		//  Measured:  `394 + p * (60 ±0)`
 		//  Estimated: `4745`
-		// Minimum execution time: 221_703 nanoseconds.
-		Weight::from_parts(39_358_497, 4745)
-			// Standard Error: 85_573
-			.saturating_add(Weight::from_ref_time(40_593_280).saturating_mul(p.into()))
-			// Standard Error: 7_808
-			.saturating_add(Weight::from_ref_time(1_529_400).saturating_mul(v.into()))
+		// Minimum execution time: 221_810 nanoseconds.
+		Weight::from_parts(33_157_392, 4745)
+			// Standard Error: 109_045
+			.saturating_add(Weight::from_ref_time(41_100_656).saturating_mul(p.into()))
+			// Standard Error: 7_754
+			.saturating_add(Weight::from_ref_time(1_534_466).saturating_mul(v.into()))
 			.saturating_add(T::DbWeight::get().reads(6_u64))
 			.saturating_add(T::DbWeight::get().writes(6_u64))
 	}
@@ -148,19 +148,19 @@ impl WeightInfo for () {
 	/// Proof: BridgeRialtoGrandpa ImportedHeaders (max_values: Some(14400), max_size: Some(68),
 	/// added: 2048, mode: MaxEncodedLen)
 	///
-	/// The range of component `p` is `[1, 5]`.
+	/// The range of component `p` is `[1, 4]`.
 	///
 	/// The range of component `v` is `[50, 100]`.
 	fn submit_finality_proof(p: u32, v: u32) -> Weight {
 		// Proof Size summary in bytes:
-		//  Measured:  `416 + p * (40 ±0)`
+		//  Measured:  `394 + p * (60 ±0)`
 		//  Estimated: `4745`
-		// Minimum execution time: 221_703 nanoseconds.
-		Weight::from_parts(39_358_497, 4745)
-			// Standard Error: 85_573
-			.saturating_add(Weight::from_ref_time(40_593_280).saturating_mul(p.into()))
-			// Standard Error: 7_808
-			.saturating_add(Weight::from_ref_time(1_529_400).saturating_mul(v.into()))
+		// Minimum execution time: 221_810 nanoseconds.
+		Weight::from_parts(33_157_392, 4745)
+			// Standard Error: 109_045
+			.saturating_add(Weight::from_ref_time(41_100_656).saturating_mul(p.into()))
+			// Standard Error: 7_754
+			.saturating_add(Weight::from_ref_time(1_534_466).saturating_mul(v.into()))
 			.saturating_add(RocksDbWeight::get().reads(6_u64))
 			.saturating_add(RocksDbWeight::get().writes(6_u64))
 	}
diff --git a/bridges/modules/messages/src/benchmarking.rs b/bridges/modules/messages/src/benchmarking.rs
index a89cb3a8ef038bcd8648f2ccd32da42aca5bdeb3..955dd3da2c57b7df2ca733a4f9239c024eb13289 100644
--- a/bridges/modules/messages/src/benchmarking.rs
+++ b/bridges/modules/messages/src/benchmarking.rs
@@ -238,7 +238,7 @@ benchmarks_instance_pallet! {
 			lane: T::bench_lane_id(),
 			message_nonces: 21..=21,
 			outbound_lane_data: None,
-			size: StorageProofSize::HasExtraNodes(1024),
+			size: StorageProofSize::HasLargeLeaf(1024),
 		});
 	}: receive_messages_proof(RawOrigin::Signed(relayer_id_on_target), relayer_id_on_source, proof, 1, dispatch_weight)
 	verify {
@@ -272,7 +272,7 @@ benchmarks_instance_pallet! {
 			lane: T::bench_lane_id(),
 			message_nonces: 21..=21,
 			outbound_lane_data: None,
-			size: StorageProofSize::HasExtraNodes(16 * 1024),
+			size: StorageProofSize::HasLargeLeaf(16 * 1024),
 		});
 	}: receive_messages_proof(RawOrigin::Signed(relayer_id_on_target), relayer_id_on_source, proof, 1, dispatch_weight)
 	verify {
diff --git a/bridges/modules/messages/src/weights.rs b/bridges/modules/messages/src/weights.rs
index f18285f3dfee4a2970620d395753df430f4270e7..8a85c8e6b2d25f70597e18d50455a3113a39f46d 100644
--- a/bridges/modules/messages/src/weights.rs
+++ b/bridges/modules/messages/src/weights.rs
@@ -17,7 +17,7 @@
 //! Autogenerated weights for pallet_bridge_messages
 //!
 //! THIS FILE WAS AUTO-GENERATED USING THE SUBSTRATE BENCHMARK CLI VERSION 4.0.0-dev
-//! DATE: 2023-02-13, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
+//! DATE: 2023-03-01, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
 //! WORST CASE MAP SIZE: `1000000`
 //! HOSTNAME: `covid`, CPU: `11th Gen Intel(R) Core(TM) i7-11800H @ 2.30GHz`
 //! EXECUTION: Some(Wasm), WASM-EXECUTION: Compiled, CHAIN: Some("dev"), DB CACHE: 1024
@@ -88,8 +88,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 50_655 nanoseconds.
-		Weight::from_parts(60_502_000, 54703)
+		// Minimum execution time: 48_426 nanoseconds.
+		Weight::from_parts(50_113_000, 54703)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -116,8 +116,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 58_861 nanoseconds.
-		Weight::from_parts(60_288_000, 54703)
+		// Minimum execution time: 59_739 nanoseconds.
+		Weight::from_parts(61_704_000, 54703)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -144,8 +144,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 53_459 nanoseconds.
-		Weight::from_parts(54_577_000, 54703)
+		// Minimum execution time: 53_760 nanoseconds.
+		Weight::from_parts(55_645_000, 54703)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -167,8 +167,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `618`
 		//  Estimated: `54200`
-		// Minimum execution time: 54_011 nanoseconds.
-		Weight::from_parts(55_573_000, 54200)
+		// Minimum execution time: 49_582 nanoseconds.
+		Weight::from_parts(51_250_000, 54200)
 			.saturating_add(T::DbWeight::get().reads(3_u64))
 			.saturating_add(T::DbWeight::get().writes(1_u64))
 	}
@@ -190,8 +190,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `618`
 		//  Estimated: `54200`
-		// Minimum execution time: 105_856 nanoseconds.
-		Weight::from_parts(109_112_000, 54200)
+		// Minimum execution time: 76_418 nanoseconds.
+		Weight::from_parts(77_877_000, 54200)
 			.saturating_add(T::DbWeight::get().reads(3_u64))
 			.saturating_add(T::DbWeight::get().writes(1_u64))
 	}
@@ -212,14 +212,14 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:1 w:1)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_single_message() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `579`
-		//  Estimated: `5619`
-		// Minimum execution time: 40_894 nanoseconds.
-		Weight::from_parts(41_766_000, 5619)
+		//  Estimated: `5624`
+		// Minimum execution time: 41_795 nanoseconds.
+		Weight::from_parts(43_683_000, 5624)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -240,14 +240,14 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:1 w:1)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_two_messages_by_single_relayer() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `596`
-		//  Estimated: `5619`
-		// Minimum execution time: 39_996 nanoseconds.
-		Weight::from_parts(41_452_000, 5619)
+		//  Estimated: `5624`
+		// Minimum execution time: 39_946 nanoseconds.
+		Weight::from_parts(41_509_000, 5624)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -268,14 +268,14 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:2 w:2)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_two_messages_by_two_relayers() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `596`
-		//  Estimated: `8154`
-		// Minimum execution time: 42_281 nanoseconds.
-		Weight::from_parts(43_593_000, 8154)
+		//  Estimated: `8164`
+		// Minimum execution time: 42_882 nanoseconds.
+		Weight::from_parts(44_367_000, 8164)
 			.saturating_add(T::DbWeight::get().reads(5_u64))
 			.saturating_add(T::DbWeight::get().writes(3_u64))
 	}
@@ -306,8 +306,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 50_655 nanoseconds.
-		Weight::from_parts(60_502_000, 54703)
+		// Minimum execution time: 48_426 nanoseconds.
+		Weight::from_parts(50_113_000, 54703)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
@@ -334,8 +334,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 58_861 nanoseconds.
-		Weight::from_parts(60_288_000, 54703)
+		// Minimum execution time: 59_739 nanoseconds.
+		Weight::from_parts(61_704_000, 54703)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
@@ -362,8 +362,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `693`
 		//  Estimated: `54703`
-		// Minimum execution time: 53_459 nanoseconds.
-		Weight::from_parts(54_577_000, 54703)
+		// Minimum execution time: 53_760 nanoseconds.
+		Weight::from_parts(55_645_000, 54703)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
@@ -385,8 +385,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `618`
 		//  Estimated: `54200`
-		// Minimum execution time: 54_011 nanoseconds.
-		Weight::from_parts(55_573_000, 54200)
+		// Minimum execution time: 49_582 nanoseconds.
+		Weight::from_parts(51_250_000, 54200)
 			.saturating_add(RocksDbWeight::get().reads(3_u64))
 			.saturating_add(RocksDbWeight::get().writes(1_u64))
 	}
@@ -408,8 +408,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `618`
 		//  Estimated: `54200`
-		// Minimum execution time: 105_856 nanoseconds.
-		Weight::from_parts(109_112_000, 54200)
+		// Minimum execution time: 76_418 nanoseconds.
+		Weight::from_parts(77_877_000, 54200)
 			.saturating_add(RocksDbWeight::get().reads(3_u64))
 			.saturating_add(RocksDbWeight::get().writes(1_u64))
 	}
@@ -430,14 +430,14 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:1 w:1)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_single_message() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `579`
-		//  Estimated: `5619`
-		// Minimum execution time: 40_894 nanoseconds.
-		Weight::from_parts(41_766_000, 5619)
+		//  Estimated: `5624`
+		// Minimum execution time: 41_795 nanoseconds.
+		Weight::from_parts(43_683_000, 5624)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
@@ -458,14 +458,14 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:1 w:1)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_two_messages_by_single_relayer() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `596`
-		//  Estimated: `5619`
-		// Minimum execution time: 39_996 nanoseconds.
-		Weight::from_parts(41_452_000, 5619)
+		//  Estimated: `5624`
+		// Minimum execution time: 39_946 nanoseconds.
+		Weight::from_parts(41_509_000, 5624)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
@@ -486,14 +486,14 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRelayers RelayerRewards (r:2 w:2)
 	///
-	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(60), added: 2535,
+	/// Proof: BridgeRelayers RelayerRewards (max_values: None, max_size: Some(65), added: 2540,
 	/// mode: MaxEncodedLen)
 	fn receive_delivery_proof_for_two_messages_by_two_relayers() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `596`
-		//  Estimated: `8154`
-		// Minimum execution time: 42_281 nanoseconds.
-		Weight::from_parts(43_593_000, 8154)
+		//  Estimated: `8164`
+		// Minimum execution time: 42_882 nanoseconds.
+		Weight::from_parts(44_367_000, 8164)
 			.saturating_add(RocksDbWeight::get().reads(5_u64))
 			.saturating_add(RocksDbWeight::get().writes(3_u64))
 	}
diff --git a/bridges/modules/parachains/src/benchmarking.rs b/bridges/modules/parachains/src/benchmarking.rs
index b156b724afeb37fa309a365adb177f7f29ec4dde..83cfba0b8c6b0329ee7ede57767672d770a2f53b 100644
--- a/bridges/modules/parachains/src/benchmarking.rs
+++ b/bridges/modules/parachains/src/benchmarking.rs
@@ -85,7 +85,7 @@ benchmarks_instance_pallet! {
 		let (relay_block_number, relay_block_hash, parachain_heads_proof, parachains_heads) = T::prepare_parachain_heads_proof(
 			&parachains,
 			DEFAULT_PARACHAIN_HEAD_SIZE,
-			StorageProofSize::HasExtraNodes(1024),
+			StorageProofSize::HasLargeLeaf(1024),
 		);
 		let at_relay_block = (relay_block_number, relay_block_hash);
 	}: submit_parachain_heads(RawOrigin::Signed(sender), at_relay_block, parachains_heads, parachain_heads_proof)
@@ -102,7 +102,7 @@ benchmarks_instance_pallet! {
 		let (relay_block_number, relay_block_hash, parachain_heads_proof, parachains_heads) = T::prepare_parachain_heads_proof(
 			&parachains,
 			DEFAULT_PARACHAIN_HEAD_SIZE,
-			StorageProofSize::HasExtraNodes(16 * 1024),
+			StorageProofSize::HasLargeLeaf(16 * 1024),
 		);
 		let at_relay_block = (relay_block_number, relay_block_hash);
 	}: submit_parachain_heads(RawOrigin::Signed(sender), at_relay_block, parachains_heads, parachain_heads_proof)
diff --git a/bridges/modules/parachains/src/weights.rs b/bridges/modules/parachains/src/weights.rs
index 5ee1e4d36212f14da1a065af49132fd88b663f61..cce2febcf4f0a1293c4aefc6b1511c06fb198efd 100644
--- a/bridges/modules/parachains/src/weights.rs
+++ b/bridges/modules/parachains/src/weights.rs
@@ -17,7 +17,7 @@
 //! Autogenerated weights for pallet_bridge_parachains
 //!
 //! THIS FILE WAS AUTO-GENERATED USING THE SUBSTRATE BENCHMARK CLI VERSION 4.0.0-dev
-//! DATE: 2023-02-09, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
+//! DATE: 2023-03-01, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
 //! WORST CASE MAP SIZE: `1000000`
 //! HOSTNAME: `covid`, CPU: `11th Gen Intel(R) Core(TM) i7-11800H @ 2.30GHz`
 //! EXECUTION: Some(Wasm), WASM-EXECUTION: Compiled, CHAIN: Some("dev"), DB CACHE: 1024
@@ -77,23 +77,21 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	///
 	/// The range of component `p` is `[1, 2]`.
-	fn submit_parachain_heads_with_n_parachains(p: u32) -> Weight {
+	fn submit_parachain_heads_with_n_parachains(_p: u32) -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 35_160 nanoseconds.
-		Weight::from_parts(36_951_585, 5143)
-			// Standard Error: 336_932
-			.saturating_add(Weight::from_ref_time(407_557).saturating_mul(p.into()))
+		//  Estimated: `4648`
+		// Minimum execution time: 36_567 nanoseconds.
+		Weight::from_parts(38_887_022, 4648)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(3_u64))
 	}
@@ -114,19 +112,19 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	fn submit_parachain_heads_with_1kb_proof() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 42_276 nanoseconds.
-		Weight::from_parts(43_525_000, 5143)
+		//  Estimated: `4648`
+		// Minimum execution time: 37_910 nanoseconds.
+		Weight::from_parts(38_967_000, 4648)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(3_u64))
 	}
@@ -147,19 +145,19 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	fn submit_parachain_heads_with_16kb_proof() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 85_824 nanoseconds.
-		Weight::from_parts(87_335_000, 5143)
+		//  Estimated: `4648`
+		// Minimum execution time: 62_823 nanoseconds.
+		Weight::from_parts(64_658_000, 4648)
 			.saturating_add(T::DbWeight::get().reads(4_u64))
 			.saturating_add(T::DbWeight::get().writes(3_u64))
 	}
@@ -184,23 +182,21 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	///
 	/// The range of component `p` is `[1, 2]`.
-	fn submit_parachain_heads_with_n_parachains(p: u32) -> Weight {
+	fn submit_parachain_heads_with_n_parachains(_p: u32) -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 35_160 nanoseconds.
-		Weight::from_parts(36_951_585, 5143)
-			// Standard Error: 336_932
-			.saturating_add(Weight::from_ref_time(407_557).saturating_mul(p.into()))
+		//  Estimated: `4648`
+		// Minimum execution time: 36_567 nanoseconds.
+		Weight::from_parts(38_887_022, 4648)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(3_u64))
 	}
@@ -221,19 +217,19 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	fn submit_parachain_heads_with_1kb_proof() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 42_276 nanoseconds.
-		Weight::from_parts(43_525_000, 5143)
+		//  Estimated: `4648`
+		// Minimum execution time: 37_910 nanoseconds.
+		Weight::from_parts(38_967_000, 4648)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(3_u64))
 	}
@@ -254,19 +250,19 @@ impl WeightInfo for () {
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHashes (r:1 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(14400), max_size:
-	/// Some(64), added: 2044, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHashes (max_values: Some(1024), max_size:
+	/// Some(64), added: 1549, mode: MaxEncodedLen)
 	///
 	/// Storage: BridgeRialtoParachains ImportedParaHeads (r:0 w:1)
 	///
-	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(14400), max_size:
-	/// Some(196), added: 2176, mode: MaxEncodedLen)
+	/// Proof: BridgeRialtoParachains ImportedParaHeads (max_values: Some(1024), max_size:
+	/// Some(196), added: 1681, mode: MaxEncodedLen)
 	fn submit_parachain_heads_with_16kb_proof() -> Weight {
 		// Proof Size summary in bytes:
 		//  Measured:  `366`
-		//  Estimated: `5143`
-		// Minimum execution time: 85_824 nanoseconds.
-		Weight::from_parts(87_335_000, 5143)
+		//  Estimated: `4648`
+		// Minimum execution time: 62_823 nanoseconds.
+		Weight::from_parts(64_658_000, 4648)
 			.saturating_add(RocksDbWeight::get().reads(4_u64))
 			.saturating_add(RocksDbWeight::get().writes(3_u64))
 	}
diff --git a/bridges/modules/relayers/src/weights.rs b/bridges/modules/relayers/src/weights.rs
index 572935f63025ea159426153777f2e6b00f8bcb09..5b6a70854e149444f23ec42f496772bc67b8353d 100644
--- a/bridges/modules/relayers/src/weights.rs
+++ b/bridges/modules/relayers/src/weights.rs
@@ -17,9 +17,9 @@
 //! Autogenerated weights for pallet_bridge_relayers
 //!
 //! THIS FILE WAS AUTO-GENERATED USING THE SUBSTRATE BENCHMARK CLI VERSION 4.0.0-dev
-//! DATE: 2023-02-27, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
+//! DATE: 2023-03-01, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
 //! WORST CASE MAP SIZE: `1000000`
-//! HOSTNAME: `serban-ROG-Zephyrus`, CPU: `12th Gen Intel(R) Core(TM) i7-12700H`
+//! HOSTNAME: `covid`, CPU: `11th Gen Intel(R) Core(TM) i7-11800H @ 2.30GHz`
 //! EXECUTION: Some(Wasm), WASM-EXECUTION: Compiled, CHAIN: Some("dev"), DB CACHE: 1024
 
 // Executed Command:
@@ -71,8 +71,8 @@ impl<T: frame_system::Config> WeightInfo for BridgeWeight<T> {
 		// Proof Size summary in bytes:
 		//  Measured:  `275`
 		//  Estimated: `5111`
-		// Minimum execution time: 43_031 nanoseconds.
-		Weight::from_parts(44_527_000, 5111)
+		// Minimum execution time: 48_688 nanoseconds.
+		Weight::from_parts(50_457_000, 5111)
 			.saturating_add(T::DbWeight::get().reads(2_u64))
 			.saturating_add(T::DbWeight::get().writes(2_u64))
 	}
@@ -93,8 +93,8 @@ impl WeightInfo for () {
 		// Proof Size summary in bytes:
 		//  Measured:  `275`
 		//  Estimated: `5111`
-		// Minimum execution time: 43_031 nanoseconds.
-		Weight::from_parts(44_527_000, 5111)
+		// Minimum execution time: 48_688 nanoseconds.
+		Weight::from_parts(50_457_000, 5111)
 			.saturating_add(RocksDbWeight::get().reads(2_u64))
 			.saturating_add(RocksDbWeight::get().writes(2_u64))
 	}
diff --git a/bridges/primitives/runtime/src/storage_proof.rs b/bridges/primitives/runtime/src/storage_proof.rs
index 133a51ce6e7f5f570f7a36e6a8a20eed7f510c9b..aa9c3088fa42f6412010f2dfcf7feca860613e2d 100644
--- a/bridges/primitives/runtime/src/storage_proof.rs
+++ b/bridges/primitives/runtime/src/storage_proof.rs
@@ -16,7 +16,7 @@
 
 //! Logic for checking Substrate storage proofs.
 
-use codec::{Decode, Encode};
+use codec::Decode;
 use hash_db::{HashDB, Hasher, EMPTY_PREFIX};
 use sp_runtime::RuntimeDebug;
 use sp_std::{boxed::Box, collections::btree_set::BTreeSet, vec::Vec};
@@ -36,9 +36,6 @@ pub enum ProofSize {
 	/// The proof is expected to be minimal. If value size may be changed, then it is expected to
 	/// have given size.
 	Minimal(u32),
-	/// The proof is expected to have at least given size and grow by increasing number of trie
-	/// nodes included in the proof.
-	HasExtraNodes(u32),
 	/// The proof is expected to have at least given size and grow by increasing value that is
 	/// stored in the trie.
 	HasLargeLeaf(u32),
@@ -46,7 +43,8 @@ pub enum ProofSize {
 
 /// This struct is used to read storage values from a subset of a Merklized database. The "proof"
 /// is a subset of the nodes in the Merkle structure of the database, so that it provides
-/// authentication against a known Merkle root as well as the values in the database themselves.
+/// authentication against a known Merkle root as well as the values in the
+/// database themselves.
 pub struct StorageProofChecker<H>
 where
 	H: Hasher,
@@ -157,6 +155,7 @@ impl From<Error> for &'static str {
 /// NOTE: This should only be used for **testing**.
 #[cfg(feature = "std")]
 pub fn craft_valid_storage_proof() -> (sp_core::H256, RawStorageProof) {
+	use codec::Encode;
 	use sp_state_machine::{backend::Backend, prove_read, InMemoryBackend};
 
 	let state_version = sp_runtime::StateVersion::default();