The Longhorns followed a first-round 283 with a 287 to finish 2-over par and lead runner-up LSU by 10 strokes.
Junior Gavin Hall leads the Longhorns after shooting a 69 and following with a second-round 68. Hall made 10 birdies on the first two rounds to lead all players by at least three strokes.
Sophomores Taylor Funk and Doug Ghim both finished 2-over par in a tie for 13.
Funk shot a pair of 72s after making two birdies and three bogeys on round one and four birdies, three bogeys and one double bogey on round two.