Zest the lemons and place the zest in a clean jar big enough to hold 8 cups of liquid.
Juice the lemons and place the juice in a freezer safe jar or plastic ziplock bag and store in the freezer.
Pour the vodka over the lemon jest in the jar. Close the jar and store in a cool dark place, shaking it daily.
After two weeks, strain and discard the zest and pour the vodka back in the jar. Make a simple syrup by combing the sugar and water in a saucepan over medium heat, stirring until the sugar is dissolved. Pour the simple syrup in the jar with the vodka. Thaw the lemon juice and add it to the jar. Return to a cool dark place and let it mellow for about 6 weeks.
Takes about a total of 8 weeks aging time. The first aging is two weeks and the second aging is 6 weeks.