ESPN Stats & Information looked at the homer and how Hamilton has done on pitches on that part of the plate.
The homer came on an 80-mph slider from the Twins' Samuel Deduno, making his first major-league start. It slid waist-high, just over the outer edge of the plate, and promptly landed 385 feet away beyond the fence (distance done by HR Tracker).
When you do see Hamilton go opposite-field, it's a good bet the pitch was in that exact same spot. Since the start of last season, Hamilton has hit nine opposite-field homers, all of them belt-high over the outside corner. Although they've been on different pitch types, the location is consistent.
Take a look at the heat map for more.