Place coarse sugar on a small plate. Rub rims of eight glasses with one of the lime wedges. Dip rims of glasses in coarse sugar to coat; set aside.
In a pitcher, combine triple sec, tequila, blackberry brandy, lime juice, and sugar. Stir until sugar is dissolved.
In a blender place one 16-ounce package frozen unsweetened blackberries, thawed. Cover and blend until smooth. Strain to remove seeds.
Add blended fruit to tequila mixture. Place ice cubes in glasses. Pour tequila mixture over ice cubes.