Against the Patriots, Carpenter also made field goals from 29 and 24 yards. For the season, Carpenter is 19-of-20, with the only miss coming in the home opener against the Indianapolis Colts.
The second-year player from Montana is tied with Minnesota's Ryan Longwell for first in the NFL in field goal accuracy at 95 percent.
Carpenter is the second Dolphins player to win AFC Special Player of the Week honors this season, following Ginn's award for his performance against the Jets on Nov. 1. Carpenter also won the award last year for his performance in the Week 14 victory over Buffalo at Toronto.