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A second-half goal by Laurent Hamici was enough to give Cray Wanderers a 1-0 home win over Wealdstone on Sunday.
The three points lifted Cray to fifth place in the table - the highest-ever position the Wands have achieved in the football pyramid.
But it was a bad weekend for three more Kent sides, with all of them losing.
After winning their last two matches, Maidstone's mini revival under new manager Andy Ford came to an end with a 3-0 home defeat by leaders Sutton United.
Goals from Tom Davis and Andy Forbes gave Sutton a 2-0 half-time lead, and then Tommy Kavanagh added a third four minutes after the restart.
Margate suffered their third straight defeat with a 1-0 reverse at home to Bury Town, for whom former Ipswich striker James Scowcroft scored with a 30-yard screamer in the second half.
Folkestone were frustrated by the heroics of Canvey Island goalkeeper Jay Russell as they lost 1-0 at Canvey Island. Hussein Isa scored the only goal midway through the second half.