I've discovered (or rather, finally gone to after reading about it umpteen times on espn.com) the greatest site for the baseball fan/math nerd: retrosheet.org. It has the results of every major league game ever played, and box scores and detailed statistics for most games since 1963 and every game since 1974. There are all-time and seasonal lists of league leaders, top performances by franchise (the Twins have thrown 4 no-hitters), and great lists such as all the instances of runners passing each other on the bases, and a massive collection of strange and unusual plays.

I even managed to find the box score from this game, which I dimly remembered as happening while the Twins were on the road sometime in the summer of 1990. Why do you think I managed to remember it 14 years later?