Brodie scored into an empty net with 50 seconds remaining for the 6-4 final.
"It's a great feeling," Bennett said. "No matter what the score is in the game, to have the confidence in our group to come back. Obviously it's not the position we want to be in as often as we are, but to know that we're never out of it is a great feeling."
Larkin put Detroit up 4-3 at 8:35 of the third when Gustav Nyquist passed back to him in the high slot after driving to the net. Larkin has six points (two goals, four assists) in the past three games, and 25 points (10 goals, 15 assists) in the past 22 games.
"When we go over the boards there with a 4-3 lead, we've got to at least keep the puck out of our net on the power play," Larkin said. "Lack of execution. All night we were around their net on the power play, but late in games we've got to be smarter with the puck."
The goal came after Green put Detroit up 3-2 at 4:16, and Neal scored on the power play to the game 3-3 at 7:34.