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To make the syrup:
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In a small saucepan, combine the water, sugar, zest, juice, and ginger and bring to a simmer.
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Shut the heat off.
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Strain and let cool.
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Store in a small air-tight container in the refrigerator.
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To make the cocktails:
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Place two cubes of ice and a piece of grapefruit zest in each glass.
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Pour in 1.5 ounces of tequila, 1/3 grapefruit juice, and a teaspoon of ginger-lime syrup into each glass.
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Stir and serve with a slice of lime for garnish.