Clinch also grabbed seven rebounds while playing just 20 minutes.
Tech jumped to leads of 14-0 and 25-1 on its way to a 74-36 halftime advantage.
Anthony Morrow and Brad Sheehan scored 18 points apiece for the Yellow Jackets, who outrebounded Carson-Newman 66-42.
Darren Williams and Cameron Sharp scored 17 points apiece for Carson-Newman.
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