Minnesota (12-9-6) sits alone in second in the Western Conference.
Danielle Robinson added 14 points and Sylvia Fowles scored 12 for Minnesota (14-15).
The Twins were blanked for the third time this year.
Minnesota trails first-place Los Angeles FC by 14 points. Colorado (7-13-5) had a two-game winning streak snapped.
Minnesota starter Kyle Gibson allowed at least one baserunner in each of his five innings, but limited the damage, allowing three runs on eight hits.
Gonzalez’s blast in the eighth, his 14th, to put the Twins ahead to stay.
Minnesota jumped ahead in the third quarter, scoring 20 of the first 31 points, and cruised from there.
Miller replaces Kevin Warren, who became Big Ten commissioner in June.