These are the cloisters at Lacock Abbey in Wiltshire. If this reminds you of a scene from Harry Potter, that is because this was used as a location for a couple of the films. Lacock Abbey was built in 1232 and became a private residence after the dissolution of the monasteries, during the reign of Henry VII in the 16th century. The abbey church was demolished, but the cloisters remain.
Lacock Abbey later became the home of one of the pioneers of photography, William Henry Fox Talbot, and there now is a museum dedicated to his work at the site.