In a medium bowl, add tea bags and pour over boiling water. Let steep 4 minutes. Carefully discard tea bags.
Place mint sprigs in a large pitcher; mash with a muddler or handle of a wooden spoon until slightly bruised. Pour in tea, lemonade, and vodka. Chill in refrigerator before serving.
Fill 8 highball glasses with ice. Pour tea among glasses. Garnish with lemon and peach slices.