re: Name your team's greatest bball win

Kentucky, 1986 Southeast Regional final in Atlanta. LSU had lost to Kentucky twice in the regular season and in the SEC tournament. Fourth time was the charm, sent LSU to the Final Four and sent the top-seeded Wildcats home.

Then the next time LSU played Kentucky, the Tigers won by 35 at Rupp Arena, on ABC with Joe B. Hall on color analysis that day. True story.

ETA: The other right answer is 1978 in overtime at home against Kentucky. All five LSU starters fouled out in regulation. Kentucky was No. 1, lost twice that season (that was its last loss of the season) and won the national championship. That season set the stage for LSU to win SEC titles two of the next three seasons and go to the 1981 Final Four.