Run blackberries through a juicer and pour the fresh blackberry juice into a large pitcher filled halfway with ice. If you do not have a juicer, puree the blackberries in a blender or food processor. Strain through a fine mesh strainer into a large pitcher filled halfway with ice.
Add lemon juice, sugar, vodka and water to the large pitcher with blackberry juice.
Stir to combine until the sugar has dissolved.
Serve cold.