By Simon Evans
Head coach Tony Sparano said he had promoted Darren Rizzi from special teams assistant coach to coordinator after releasing Bonamego.
The Patriots blocked a punt and a field goal, with the blocked field goal returned for a touchdown, and also had a 103-yard kickoff return by Brandon Tate for a touchdown.
Miami slipped to third in the AFC East with a 2-2 record after their second defeat to divisional rivals.
(Reporting by Simon Evans in Miami; Editing by John Mehaffey)