The Mountain Hawks (7-0, 1-0) have won 15 straight regular-season games dating back to last season, good for the longest active streak in the Football Championship Subdivision.
Barket, who finished with 123 yards rushing, tied the game 7-7 with his 1-yard touchdown run.
Georgetown (3-4, 0-1) regained the lead, 14-7, behind Jeremy Moore's 80-yard interception return for a touchdown with 3:52 left in the first half. The Hoyas' defense forced turnovers (four interceptions, one fumble) on five of Lehigh's first eight possessions.
The Mountain Hawks' offense rallied in the second half, opening the third quarter with a 9-play, 76-yard scoring drive. Keith Sherman capped the drive with a 1-yard touchdown.
Peery's field goal with 10:58 remaining sealed the win.
Nevada - San Diego State postgame breakdown
College GameDay will broadcast live from Indianapolis, site of the Big Ten title game clash between the Iowa Hawkeyes and Michigan State Spartans.
LSU players were thrilled to learn that Les Miles will be returning as their coach in 2016.
Jared Goff threw five touchdown passes and Matt Anderson kicked a 26-yard field goal as time expired to cap an improbable comeback and lift California to a 48-46 win over Arizona State on Saturda
Despite being offered a pay raise by Toledo, Matt Campbell has agreed to become Iowa State's next coach, sources told ESPN.com.
Cal quarterback Jared Goff passed for 542 yards and five touchdowns and the Bears beat Arizona State with a last-second field goal.