Heuir went 7 for 7 from 2-point range and 0 for 5 from behind the 3-point line for the Thunderbirds (1-4). Jaren Jeffery added 11 rebounds, and Jayson Cheesman had three blocks.
Southern Utah led 39-25 at the break and built the cushion to 62-41 with seven minutes remaining.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.