Step 1Place the pastry flour, one-fourth cup sugar, baking powder and salt in a food processor and pulse a few times to mix. Add the butter and pulse until fine crumbs form.
Step 2Spoon the mixture into a large mixing bowl. Stir in the apricots and ginger. Pour in three-fourths cup plus 2 tablespoons cream and fold with a spatula until the cream is incorporated, then use your hands to mix gently. Do not overwork the dough; it will be crumbly.
Step 3Turn the dough out onto a floured surface, pressing it together. Flatten into a 7 1/2-inch-square, 1-inch thick. Cut into quarters. Cut each quarter in half to form two triangles. Place the scones on a parchment-lined baking sheet, 2 to 3 inches apart, and wrap tightly in plastic wrap. Freeze until firm.
Step 4Heat the oven to 350 degrees. Brush the tops of the scones with the remaining 2 tablespoons whipping cream and sprinkle evenly with the remaining 4 teaspoons sugar. Bake until golden, about 30 minutes. Allow to cool before removing from the parchment.