Bring berries, sugar, and water to a boil in a medium saucepan. Reduce heat and simmer, stirring occasionally, for 15 minutes. Skim off any scum that has accumulated on top of the mixture.
Add vinegar and simmer for 5 minutes on low heat. Cool and strain into a glass container. Refrigerate for as long as 3 months.
To serve, fill a glass with ice, fill halfway with shrub, fill the rest of the way with sparking water, and add berries and mint to garnish.