In a large stainless-steel or nonreactive saucepan combine the water, sugar, and snipped mint. Bring to boiling; remove from heat and let steep for 20 minutes. Place a sieve lined with 100-percent-cotton cheesecloth over a pitcher or small punch bowl. Strain mixture through the sieve; discard any solids.
Add tea, orange juice, and lemon juice to the mixture, stirring to mix. Cover and chill for at least 2 hours or up to 24 hours. Just before serving, slowly pour chilled club soda into mixture; stir gently. If desired, sprinkle with mint leaves. Serve punch over ice.