The Royals will play three games against the Twins, then continue their road trip at Houston for three games.
The Royals' home opener is set for April 10 against the Oakland A's, the start of an eight-game homestand that also will include visits from the Angels and Giants.
Times for the 2017 schedule will be set at a later date.
The Royals again will have a home-and-home series against the rival Cardinals, with the first two at Kauffman Stadium Aug. 7-8, and the next two at St. Louis Aug. 9-10.
The Royals will be matched up against the National League West next year in Interleague Play, with the Giants, Rockies and D-backs coming to Kauffman Stadium.