In the 45th meeting between these powers, a record crowd of 83,042 witnessed the Seminoles most impressive performance of the season.
Weinke completed 23 of 44 passes and his second TD pass of the game, a 34 yarder to Minnis in the first quarter, made him the Atlantic Coast Conference's career passing leader, moving him ahead of Duke's Ben Bennett.
Weinke, who also enhanced his Heisman Trophy chances, has thrown for 9,789 yards in his career. Bennett had 9,564 yards. Minnis, who caught three TD passes in last week's win over Wake Forest, had eight catches for 187 yards.
For Florida, Jesse Palmer was 17 of 30 for 180 yards and two interceptions. Rex Grossman, who took the first snap and didn't return until the game was decided in the fourth quarter, also threw an interception. He finished 10 of 16 for 98 yards.
With the win, Florida State extended its unbeaten streak at home to 52 games, dating to 1991, and its home winning streak to 35 games, dating to 1994.
Holding a 14-7 lead at the half, the Seminoles took control in the third period thanks to Weinke's passing and Florida's penalties. William McCray capped an 80 yard drive with a 1 yard TD run, but the Gators hurt themselves with two pass interference calls, one against Lito Sheppard trying to stick with Minnis, the other on Todd Johnson, who was flagged for holding Minnis on the goal line. Florida was penalized 14 times for 116 yards.
The Seminoles extended the lead to 27-7 on Weinke's final TD pass, a 51 yarder to Minnis with 1:08 left in the quarter.
When Palmer tried to bring the Gators back, the Seminoles' defense came up with big plays. First, free safety Chris Hope intercepted a pass intended for Reche Caldwell to stop one drive. Then, Tay Cody made his second interception of the game, this one off Grossman, and returned it 58 yards to set up Brett Cimorelli's 33 yard field goal with 10:42 left in the game.
Florida State didn't wait long to seize a 7-0 advantage. After forcing Florida to punt on the first series, the Seminoles took over and Weinke went to work, completing 6 of 8 passes for 70 yards, the final one a 17 yard TD toss to Atrews Bell just 5:49 into the game.
The Gators came right back on their next possession to make it 7 all on Palmer's 5 yard TD pass to Aaron Walker.
The tie was broken 56 seconds later when Weinke found Bell for 42 yards and, on the next play, hit Minnis for a 34 yard touchdown pass.
Weinke came down with flu symptoms that Friday and spent eight hours in the hospital taking intravenous liquids. He slept at team physician Kris Stowers' house, and made it to the stadium healthy enough to lead the Seminoles to their biggest win of the season.