After the opposing team puts the kickoff out of bounds, the Jets elect to take the ball at their own 35. No time has expired. (Timekeeping begins when the receiving team touches the ball)
Jumbo Elliot, preoccupied with his coming trial for beating up a girl, goes on to commit encroachment on the next 1,500 snaps. Each time, he jumps and the flag is thrown before the ball snaps, so no time expires.
There’s no one to yank him from the game, as the entire coaching staff had aneurisms about three snaps in. After the first 6 penalties, the Jets are at their own five.
The next 1,494 times, the poor ref has to move the ball half the distance to the goal line. The game ends when the ref realizes the philosophical implications of this and his head explodes.
So 1,500 is the largest number of snaps that can occur in a half. Or a game.
Livin’ on Tums, Vitamin E and Rogaine