This was followed by High Peak, Derbyshire (82%), and Chelmsford, Essex (58%).
The number of new properties for sale in Great Britain was found to be up by 8% compared to the same period in 2021.
The East Midlands, South East, South West, Wales and Yorkshire and The Humber all recorded an increase of more than 10% in new homes for sale in the last week of January, compared to the same period in 2021.
According to Rightmove, total buyer demand was up 35%.
Tim Bannister, director of property data at Rightmove, said: “The market has picked up pace after a busy festive period, and it’s a really encouraging sign to see more properties start to come to market for sale.
“More new listings, coupled with the higher number of requests from prospective sellers to estate agents to value their home we are seeing, certainly suggests good news and positive signs we are moving towards a better balanced market in 2022.
“These new sellers will be met by plenty of eager buyers, as the data shows the number of enquiries for homes for sale is even higher than this time last year.
“This means that while rising numbers of new homes for sale will be very welcome, buyers will face stiff competition for available properties, and should act fast when a property they like comes onto the market.”