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Preheat the oven to 400°F. Lightly grease a standard scone pan, or lightly grease a baking sheet; or line with parchment.
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Combine the flour, baking powder, salt, sugar, zest, and chopped fresh mint.
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Work in the butter until the mixture is unevenly crumbly.
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Add the lime oil.
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Starting with 1/2 cup, add enough milk to make the dough cohesive. It should be evenly moist, but not so sticky that you can't work with it.
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Turn the dough out onto a lightly floured surface, shape it into a rough ball, and roll or pat it into an 8" round.
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Using a bench knife or sharp knife, cut the round into 8 wedges, and transfer each to the prepared pan.
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Brush the scones with milk or cream, and sprinkle with coarse sparkling white sugar.
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Place the pan in the freezer for 15 minutes; this will help the scones rise higher.
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Bake the scones until they begin to brown, 18 to 24 minutes.
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Remove them from the oven, and transfer to a rack.
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Serve warm, or at room temperature. Wrap any cooled leftovers airtight, and store at room temperature for several days; freeze for longer storage.