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Preheat oven to 375 degrees F.
Butter 6 (4 to 5-inch) flan pans with removable bottoms. Roll each disk of dough out 1 at a time on a lightly floured surface and place in pans. Line the base of each pastry shell with parchment paper and top with pastry weights. Blind bake for 25 minutes. Remove the weights and parchment and prick the base of the pastry to prevent bubbling. Place back in the oven for another 5 minutes to allow the base of the pie shell to dry out. Remove from oven and let cool. Reduce oven temperature to 325 degrees F.
For the filling: While the par-baked crusts are cooling, heat the coconut milk over medium heat in a small saucepan. Stir in the sugar and salt until dissolved. Make a slurry by gradually whisking 2 tablespoons water into a separate small bowl containing the starch. Then gradually whisk the slurry into the pot of coconut mixture. Reduce heat to low to let the flavors integrate and to thicken.
Fill the pastry shells 3/4 full with even amounts of the coconut filling. Place on a foil-lined baking sheet to catch drips, and bake until a knife inserted in the center comes out clean, about 35 to 45 minutes. Remove from oven and allow to cool completely.
Serve at room temperature or chilled, topped with diced kiwi.