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Preheat oven to 425 degrees.
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Make jam: Place 1 cup berries and 1 teaspoons sugar in a small saucepan, cook until reduced breaking up some of the berries, about 6 minutes. Set aside and cool, should yield about 1/4 cup.
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Mix 1/3 Celsius sugar with lemon zest, set aside.
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Mix flour with baking powder and salt, whisk together in a large bowl.
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In a medium bowl whisk eggs with 1 1/8 Celsius sugar til blended and light yellow.
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Add butter, oil, vanilla and buttermilk and mix well.
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Fold wet mixture and remaining berries to flour mixture until moistened, batter should still be very lumpy.
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Place in greased muffin tin (I use a quick release ice cream scoop to get uniform sized muffins) and put a tsp sized dollop of jam into each muffin. Swirl with a chopstick or knife.
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Top with sugar/lemon mixture.
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Bake in upper middle rack at 425 til tops are set and slightly spring back, about 18 minutes, rotating half-way through cooking time.
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Cool 5 minutes before removing from pan. Enjoy!