Add the tea bags to the water; steep for 10 minutes. Remove and discard the tea bags.
In a large pitcher, combine the tea, lemon juice, simple syrup and vodka. Stir until well combined.
Serve over ice, garnished with mint leaves and lemon slices.
Mint Simple Syrup:
Yield:2 cups
Bring the water and sugar to a boil in a small saucepan; cook about 10 minutes. Add the mint and let steep for 5 minutes. Strain and cool. Use immediately or store, covered, in a refrigerator.