Preheat oven to 350°F. Grease a round baking dish or line a baking sheet with parchment paper.
In a large mixing bowl, whisk together the flour, sugar, caraway seeds, baking soda, and salt.
Stir in the dried fruit bits until evenly distributed.
In a separate bowl, whisk together the buttermilk and 1 egg.
Pour the wet ingredients into the dry ingredients and stir until just combined. Do not overmix. The dough will be thick and slightly sticky.
Turn the dough onto a lightly floured surface and gently shape into a round loaf.
Place the loaf onto the prepared baking sheet or dish. Using a sharp knife, cut a deep “X” across the top of the loaf.
Lightly beat the remaining egg and brush over the dough.
Bake for 45–55 minutes, or until golden brown and a toothpick inserted into the center comes out clean.
Allow to cool slightly before slicing and serving.