Bring 4 cups water to a boil in a medium saucepan; add tea bags. Boil 1 minute; remove from heat. Cover and steep 10 minutes. Remove and discard tea bags.
Stir in honey. Pour into a 2-qt. pitcher; stir in 4 cups cold water and orange and lime wedges. Serve over ice.
Note: For testing purposes only, we used Bigelow Green Tea.
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