Arrange the oven racks in the upper and lower thirds of the oven; preheat the oven to 350 degrees F. Line 2 baking sheets with parchment paper.
Whisk together the sugar, apricots, vanilla, salt, egg whites and lemon zest in a large bowl. Add the coconut and toss until completely coated. Spoon heaping tablespoonsful of the dough onto the baking sheets, leaving about 1 inch between each mound. Moisten your fingertips with water and shape each macaroon into a pointed mound or pyramid.
Bake, rotating the pans halfway through, until the cookies are toasted and the edges are lightly browned, 16 to 20 minutes. Transfer to a rack to cool. Store macaroons in an airtight container for up to a week.
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