Heat 2 cups of water with sugar, until sugar dissolves. Continue to heat for 5 minutes or so until it starts to thicken up, then add the rest of the water, zest and juice.
Let cool to room temperature.
Put the blueberries and blackberries in a blender and puree.
Stir berries into the lemonade, cover and refrigerate for 2 to 3 hours. If you don't like"chunky" lemonade strain the lemonade before serving.