Adams scored either side of half-time at Boston Town's DWB Stadium as the Pilgrims chalked up a 3-0 victory over Peterborough United.
Jordan Tate was the Pilgrims' other scorer in their ninth league win of the campaign to date, which extended their lead over nearest rivals Basford United whom they entertain at Tattershall Road in a fortnight's time.
Boston (4-3-3): Harry Payne; James Gordon, Jack Withers, Bailey Forth, Callum Rodger (Connor Stocks 70); Jordan Tate (Jenson Ball 70), George Hobbins, Peter Evison; Liam Adams (Arkadiusz Michalczyk 80), Maison North (Jack Brown 20), Haydn Havard.