Peters was 12-of-20 shooting and made all nine of his free throws in tying the Crusaders' Division I single-game scoring record. He also posted his fourth double-double in the last five games.
Tevonn Walker added 21 points for the Crusaders (13-3, 3-0), who won their third consecutive game and ended the Titans' three-game winning streak and their run of 12 straight home victories.
Valparaiso led 50-29 at halftime. Detroit rallied within seven with 7:25 left but Peters had a bucket and three free throws and the lead remained in double figures.