Ice ring: Combine 4 cups of lemon-lime beverage with lime, orange, and strawberry slices; pour into mold and freeze overnight.
Remove stems and caps from strawberries. Puree berries, 3 cups at a time, in a food processor. Transfer berries to punch bowl. Add limeade concentrate and fruit juices; stir.
Cover and chill until ready to serve. Add remaining lemon-lime beverage and ice ring at serving time.