Preheat oven to 425 degrees. In the bowl of a food processor, mix the flour, sugar, baking powder and baking soda. Add the butter and combine, pulsing until mixture resembles coarse meal (this can be done by hand if you don't have a food processor). Add the apricots, buttermilk, white chocolate chips, and nuts. Mix with a fork until just combined. Turn dough onto a floured surface and knead 8-10 times. Shape into a 10" circle about ¾" thick. Cut into 10-12 wedges. Place scones on a greased baking sheet and brush the tops with heavy cream. Bake 15-20 minutes.