Ingredients

• 1 English cucumber
• 1 teaspoon grated lime zest plus 1 cup fresh lime juice
• 3/4 to 1 cup chilled Simple Syrup, recipe follows
• Handful of fresh mint leaves, plus more for garnish
• 2 tablespoons fresh dill fronds, plus more for garnish
• 4 shots cold vodka or gin
• 1 cup sugar

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Instructions

1. Slice 4 very thin slices from the cucumber, then peel, seed and coarsely chop the rest. Combine the lime juice, chopped cucumber, some Simple Syrup and 2 cups cold water in a blender and blend until smooth. Pour into a pitcher and stir in the lime zest, mint and dill. Cover and refrigerate until very cold, at least 2 hours. Keep the cucumber slices covered and chilled.
2. Put some ice, a shot of vodka and some of the lime mixture in a cocktail shaker and shake for 10 seconds. Strain into a martini glass and garnish with a cucumber slice, some mint and dill. Repeat to make 3 more martinis.
3. Bring the sugar and 1 cup water to a boil in a small saucepan over medium high heat. When the sugar is completely dissolved, remove the saucepan from the heat and cool the syrup to room temperature. Refrigerate, covered, for up to 1 week.