(Foxborough, MA) -- Stephen Gostkowski's 31-yard field goal with under three minutes to play in overtime sent the Patriots to a 34-31 win over the Broncos at Gillette Stadium. The kick was set up after New England recovered their own punt that bounced off Denver's Tony Carter deep inside Broncos' territory. New England stormed back from a 24-0 halftime deficit to take the lead in the fourth quarter, only to have Denver tie it at 31 in the final minutes of regulation. Tom Brady was 34-for-50 and threw for 344 yards with three touchdowns for New England. Julian Edelman had nine catches for 110 yards and two scores as the Pats moved to 8-and-3 and maintain a three-game lead on the Dolphins and Jets in the AFC East. New England overcame three lost fumbles in the game. Knowshon Moreno led the charge for Denver's offense, carrying the ball 37 times for 224 yards and a TD. Peyton Manning struggled going 19-of-36 for 150 yards with two touchdowns and an interception. TheBroncos fell to 9-and-2 and are tied with the Chiefs atop the AFC West.