The Astros prospect went 4-for-7 with a pair of homers and a career-high seven RBIs as Class A Advanced Lancaster beat Lake Elsinore, 11-8, in 14 innings.
The 23-year-old first baseman's previous high for RBIs was six, set on April 16, 2010 when he turned in the first two-homer game of his career for the Class A Lexington Legends.
Hinze's first roundtripper on Monday came in the third inning, when he hit a two-out, three-run shot to left field off Storm starter Jerry Sullivan.
His next longball was a bit more dramatic. After the JetHawks had already plated two runs in the top of the 14th, Hinze launched another two-out, three-run dinger over the left-field wall to give his team a five-run cushion.
The home run turned out to be crucial as Lake Elsinore scored two runs in the bottom of the frame.
Hinze's only other RBI on the day came in the 10th, when he hit a ground-ball single through the right side to drive in Austin Wates from third. Like his two homers, that hit came with two outs.
The Storm got back that run in the bottom of the frame when Danny Payne belted an RBI double to right field. Teammate Jonathan Galvez, however, was thrown out at the plate on the play trying to score the winning run from second. The inning ended two batters later when Reymond Fuentes struck out swinging.
Overall, Hinze ranks first in the California League with a .480 on-base percentage and is tied for the league lead with 17 home runs this season. He also checks in at third in slugging percentage (.650) and eighth in batting average (.345).
Yordany Ramirez (1-1) got the win for Lancaster despite allowing two runs over 1 2/3 innings, while David Berner earned his first save of the year by setting down all three batters he faced.
Hayden Beard (2-2) took the loss for the Storm after surrendering five runs on four hits in just one inning.