Wiebe had four birdies on the back nine. Langer, the 2010 champion at Carnoustie, shot 67 and made five birdies. Both players finished at 5-under 135.
Langer dropped two strokes at No. 6 when he double-hit the ball.
David Frost (68) is one shot off the lead.
First-round leader and Georgia resident Gene Sauers, of Savannah, followed his opening 67 with 70 and is now two shots back.
EUROPEAN TOUR: In Moscow, Rikard Karlberg took a two-stroke lead
over four others after the second round of the Russian Open, shooting 4-under-par 68.
Matthew Baldwin (69), Wen-Chong Liang (70), Alexandre Kaleka (67) and Michael Hoey (67) are two shots off the lead.
Former Augusta State star Jamie Elson (71-71) is seven shots back.
U.S. JUNIOR AMATEUR: In Truckee, Calif., Scottie Scheffler and Davis Riley won quarterfinal and semifinal matches to advance to the 36-hole final.
Scheffler won three matches Friday, counting the completion of his suspended third-round match.