2 English cucumbers (the long skinny ones that come wrapped in plastic)
1/2 cup loosely packed fresh mint leaves, plus 4 sprigs for garnish
1 Tbl sugar
1/4 cup fresh lime juice (from 2-3 limes)
1/2 cup vodka
Slice 4 thin wedge-shaped spears from one cucumber. Each spear should be a couple inches higher than the glass you’ll be serving the cocktail in. (You won’t need the entire cucumber.)
Quarter the remaining cucumbers lengthwise, then scrape out the seeds. Coarsely chop the cucumbers, then puree in a food processor until very smooth. Strain through a fine mesh sieve, pressing down a bit on the solids to extract as much liquid as possible. This cucumber juice can be prepared about four hours ahead and kept refrigerated.
Fill a cocktail shaker with the mint leaves, sugar, lime juice and a handful of ice cubes. Give it a good, thorough shake. Add the vodka and 1 cup cucumber juice and shake again. Strain into 4 glasses, filled with ice cubes. Garnish each glass with a cucumber spear and a sprig of mint.
SERVED AT THIS DINNER PARTY