What is the highest handicap game in bowling?

There are three variables that affect a bowler's handicap: 1) Their current average, 2) the handicap basis, and 3) the percent of the difference between their average and the handicap basis that is used for the handicap.

For example, a typical league may calculate handicap as 80% of 200, meaning that a bowler with a 150 average would have a 40-pin handicap (80% of the 50-pin difference between their 150 average and the 200 basis). With a 40-pin handicap, the highest handicap game this bowler could roll would be 340.

Theoretically, you could have a 600 handicap game: A bowler with a 0 average Bowling in a league with handicap based on 100% of 300 would get 300 pins of handicap, making a perfect game worth 600 pins. In reality, I don't think I've seen many handicap games over 330.