Using a good electric juicer- juice 3-4 cucumbers. Rind and all, if it's a good juicer this shouldn't be any problem. You'll get a gorgeous vibrant green color from the rind in the juice.
On a plate mix the salt, sugar, and fresh cracked pepper (this mix will be used to rim the glass) Then run a lime wedge along the rim of your glass to wet, and dip the wet rim in the salt sugar pepper mix to rim your serving glass.
In a shaker pour all of your liquid ingredients (vodka, cucumber juice, simple syrup, club soda) in over ice. Throw the hand full of mint leaves in and muddle to combine and release the flavors.
Pour in to your rimed glass and garnish with a fresh squeezed lime wedge, a slice of cucumber and a sprig of mint.