Fresh White Bloody Mary

Name: Fresh White Bloody Mary
Ingredients: 4 green tomatoes, roughly chopped; 1 hot house cucumber, roughly chopped; 2 ribs celery, peeled to remove tough outer fibers and roughly chopped; 3 cups seedless green grapes, plus more for garnish; 1 jalapeno, seeded; 2 tablespoons horseradish; 1 tablespoon superfine sugar; 2 lime wedges, plus more for garnish; Crushed ice; 2 to 3 ounces vodka, chilled; 1 tablespoon salt and freshly ground black pepper, on a small plate; Cucumber spears, celery sticks, for garnish