Elpenor
a clown’s heart and a mandolin
I think there’s a roundabout by Berwick, but not sure I’ve driven north on the entire of the of the A1Motorway from Dover, M20? Join the M25 junction, go round clockwise, join the M1 from the M25, and head north. Join the A1M and keep going north. The first roundabout I can recall is north of Sunderland.
Traffic might be the only issue.
I think there’s an argument that zig zagging is permissible providing there are no repeated road so Dover - M20 - M25 - M4 - M5 - M42 - A42 - M1 - M62 - M6 - A74M - M74 - looping around / through Glasgow on motorways then finishing just before Dunblane might be the longest route. Must find the time to measure this on google maps.