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.
Thurl Bailey, a member of the 1983 NC State title team, has helped get the Wolfpack an invitation to the White House to meet President Barack Obama on May 9.
It's about time for someone other than Duke and Kentucky to grab the top class. Could it be Shaka Smart and Texas in 2017?
Which teams have enjoyed the most NCAA tournament success since 2000? Kansas' recent run to the Elite Eight vaulted the Jayhawks up the list.