Carter was at 10-under 130 after Friday’s round and was two strokes ahead of Joost Luiten, Steven Alker (66) and Alexander Noren (67).
Luiten tied the course record with a six-under 64, a score matched by Sam Walker, who moved into a tie for fifth.
That course record was tied by Jean-Baptiste Gonnet and Taichi Teshima in Thursday’s first round, but Gonnet shot one-over 71 on Friday and is tied for eighth while Teshima turned a two-over 72 is six strokes off the lead.
Carter had birdies on Nos. 2 and 3 and moved into a tie for the lead with a birdie on 7 that put him eight under for the tournament.
He grabbed sole possession of the lead with a birdie at No. 10 and increased the advantage with another birdie at 17. He had five birdies and 13 pars on the day.