The Mets put up seven runs in the first inning and went on to win 9-1 on Friday afternoon in Fort Myers.
Dillon Gee tossed 5 1/3 innings, allowing just one earned run on five hits. He walked none and struck out four.
Scott Rice, Gonzalez Germen, Jeurys Familia and Carlos Torres combined to shutout the Twins the rest of the way.
Tejada went 1-3 with a double and a walk, scoring twice.
Duda hit a two-run home run in the fourth inning.
Davis went 3-3 with two doubles, two RBI and a run scored.
For the full recap, visit SNY.tv.
The Mets play at the Marlins facility on Saturday, a 1:05 p.m. game.