Drop the mint leaves and 2 of the lime wedges into a sturdy highball glass.
Add the sugar and press down firmly with a muddler or the back of a wooden spoon for about 15 seconds, until the mint smells bright and the lime has released its juice.
Squeeze in the remaining 2 lime wedges and drop the spent rinds into the glass.
Fill the glass with crushed ice all the way to the rim.
Pour the club soda over the ice and stir once with a long spoon, lifting the mint from the bottom so it moves through the drink.
Garnish with a lime wheel and mint sprig and serve immediately, with a straw.
Good to Know
Make the mint and lime base for a whole pitcher ahead of time, but hold the soda and ice until each glass is poured so it never goes flat.