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First, prepare the cranberry concentrate. Pour 2 cups of cranberries, the cranberry juice, water, and brown sugar into a saucepan and bring to a simmer. Let simmer on low for 5 minutes, until the cranberries have bursted. Stir frequently.
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Use a fine mesh strainer to strain the cranberry concentrate. Use a rubber spatula to press as much of the concentrate as possible through the strainer. Then let then concentrate cool.
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To mix the cranberry moscow mule, pour the concentrate, lime juice, ice, ginger beer, and vodka into a large container. Gently stir. Add the remaining cranberries and slices of lime to garnish.