Gostisbehere at 7:42 of the second period made it 3-0 on his fourth goal. He was at the left post to redirect the backdoor pass from Keller.
Dylan Guenther scored on the power play at 15:22 to make it 4-0. Both of the rookie forward's goals have been in the past two games.
Tarasov was pulled at that point after making eight saves. Elvis Merzlikins saved five of six shots.
Jack McBain made it 5-0 at 2:10 of the third period. Gaudreau cut the margin to 5-1 at 5:45, scoring his fifth goal by banking a rebound of his shot off Ingram.
Johnson scored for a third straight game at 17:24 for a 5-2 score. Lawson Crouse scored into an empty net with 20 seconds left to make it 6-2 before Peeke made it the 6-3 final with nine seconds remaining.
"We weren't good enough. There's not much to say," Blue Jackets coach Brad Larsen said. "It's a shame. It's disappointing because we're coming off a big effort there in New York. You win three of four and you feel like you're kind of going the right direction and then a let-up like this. It can't happen. This came out of nowhere."
NOTES: Keller has seven points (two goals, five assists) in a five-game point streak. … The two power-play goals gave the Coyotes eight, marking the 12th time in Coyotes/Winnipeg Jets history they scored seven or more power-play goals within the first six games of a season. The most recent instance came in the 2012-13 season. … Columbus went 0-for-5 on the power play and has not scored in 20 tries this season, including 0 for 15 at home. … Until the Gaudreau goal, the Blue Jackets had allowed 10 consecutive goals at home. They led the Pittsburgh Penguins 3-1 in a 6-3 loss on Saturday.