bring chopped fresh pineapple, sugar, and 1 cup water to a boil in a saucepan over medium-high heat. reduce heat to low; simmer, stirring often, 10 minutes. cool slightly; process in a blender. pour through a wire-mesh strainer into a 1-gal. container. bring 3 cups water to a boil over medium-high heat in a saucepan. add tea bags; boil 1 minute. remove from heat; cover and steep 10 minutes. discard tea bags, and stir tea into pineapple mixture. stir in 1/4 cup chopped fresh basil and 6 cups cold water. serve over ice. 