Bring 1 quart of water to a boil, turn the heat off and add the tea bags and let steep until cool. Place the sugar and 1 cup of water in a sauce pot over high heat, bring up to a boil to dissolve the sugar and then turn off the heat, allow to cool.
Place the mint springs in a large pitcher, add the cooled sugar water and cooled tea along with the lime juice, stir to smash around the mint in the liquids. Pour over ice and serve.