In a small saucepan, make a simple syrup by bringing the lemon juice and sugar to a boil over medium heat. Cook the syrup until the sugar is dissolved. Remove from the heat and cool.
In a large pitcher, mix together the mint leaves, simple syrup, iced tea and vodka. Refrigerate for 30 minutes to allow mint to steep. Serve over ice-filled glasses.
Recipe courtesy of Aaron McCargo Jr.