Tuel, an undrafted free agent, hit 19-of-23 passes, including scoring throws of 6 yards to Justin Rodgers and 5 yards to Brandon Kaufman.
Buffalo tied the game at 13-13 in the second quarter on a 107-yard kickoff return by Marquise Goodwin and took the lead with 14 seconds left in the opening half on a 17-yard pass from Dorin Dickerson to E.J. Manuel.
Indianapolis quarterback Andrew Luck went 4-of-6 for 51 yards in a brief appearance.
2014: The Year in Music [PHOTOS]