Combine lime juice, cherry juice and orange juice in large bowl. Roughly squeeze about 1/3 pint each of the berries in your hands; add to the juices in the bowl and let sit for 15-20 minutes. Strain the mixture into a large pitcher or punch bowl and add remaining raspberries and blueberries. Add in simple syrup to taste. Let sit for at least 2 hours; refrigerate. Pour into tall glasses filled with ice, garnish with mint (optional).