Tom Brady threw for only 153 yards, and Randy Moss was held without a catch for the first time since 2006, but the NFL's highest-scoring team still put up its biggest point total yet.
The Patriots trailed 7-6 at halftime, but when Brandon Tate returned the second-half kickoff 103 yards for a score, the deluge was on. Chung blocked a punt to set up a touchdown, then blocked a field goal that Kyle Arrington returned 35 yards for a score.
Chung returned an interception 51 yards for New England's final score.
Another unexpected contribution came from linebacker Rob Ninkovich, who had the first two interceptions of his five-year career. Chung and Arrington scored their first career TDs, as did Patriots reserve fullback Danny Woodhead on an 11-yard reception.
The Patriots scored 17 points in a span of 2:16 bridging halftime to take command. They are averaging an NFL-best 33 points per game.
Miami's Chad Henne was 29 of 39 for 302 yards and two scores, but he was yanked with 6 1/2 minutes left after tying a career high with his third interception. Tyler Thigpen finished up at quarterback but went only 2 of 6.