Preheat the oven to 400°F (205°C).
Add the flour, 2 tablespoons sugar, salt, and cold cubed butter to a food processor. Pulse until coarse crumbs form.
Transfer to a bowl, add the ice-cold water, and mix with a fork just until combined. Turn onto a floured surface and divide into six pieces.
Gently form each piece into a ball, then roll each into a flat disk. Transfer to a baking sheet and let the crusts rest.
Combine the cornstarch, ginger, and ⅓ cup sugar in a medium bowl. Add the plums and toss to coat. Drizzle with lemon juice and almond extract.
Divide the plum mixture among the six crusts, leaving 2 to 3 inches around each edge. Fold the crust over part of the fruit, leaving the center uncovered. Brush the pastry with heavy cream and sprinkle generously with sugar.
Place the baking sheet in the oven, close the door, and immediately reduce the temperature to 375°F (190°C). Bake for 45 to 50 minutes, until the filling bubbles and the fruit juices run clear. Cool before serving.