It's warming up out there! Cool down with this refreshingly sweet frozen mocktail.
In a small saucepan, bring 1/2 cup sugar, the chopped basil, and 1/2 cup water to a simmer over medium heat, stirring until the sugar dissolves. Remove from heat. Steep for 10 minutes; strain.
In a blender, puree the basil syrup, frozen berries, ice, and 1/4 cup lime juice. Add water if needed to thin the mixture.
Pour the remaining 2 tbsp. lime juice onto another plate. Spread the remaining 2 tbsp. sugar on a plate. Dip the rims of 4 glasses in the lime juice, then in the sugar. Divide the daiquiri among the glasses. Garnish with basil leaves and fresh berries.