Make the strawberry puree: Puree the strawberries in a blender. Strain to remove the seeds and any foam.

Make the margarita: Optional step: Salt the rim of a glass by rubbing a lime wedge around the edge and dipping the glass into a small plate of salt. Fill the glass with ice.

Place the tequila, orange liqueur, lime juice, simple syrup, and 2 ounces of the strawberry puree in a cocktail shaker with ice. Shake and strain into the glass with the salted rim. Garnish with a lime wedge, fresh strawberries, and basil.