In a small sauce pan combine sugar and water. Bring to a boil, reduce heat and simmer for 10 minutes. Pour into jar and chill.
1/2 cup sugar, 1 cup water
In a pitcher muddle together blueberries and mint leaves, making sure to burst most of the berries .Add lime juice, tequila, and chilled sugar mixture (simple syrup).
1 1/2 cups blueberries, 12 mint leaves, 1 cup tequila, 1 cup fresh lime juice
Pour over ice to serve.
Options:
To line the rim with salt: use a wedge of lime to rub around the mouth of a glass. Pour kosher salt on a plate. Place moist mouth of the glass in the salt to coat.
Thread blueberries onto toothpick or skewer to garnish each glass.