First, mill your wheat berries on the fine setting of your grain mill.
In the pan of your bread machine, add the ingredients in this order: 1. water, 2. sourdough starter, 3. oil, 4. flour, 5. salt.
Place the pan in the bread machine and choose the "raw dough" setting. On your machine it may be "knead".
Set the time for 23 minutes.
After the dough kneading cycle has ended, press the "ferment" cycle and set the time to 4 hours.
Tip: Spritz the top of the dough with water to keep it from drying out while rising.
After the dough has risen for 4 hours, turn the dough onto a lightly floured work surface.
Divide the dough into 8 equal pieces.
Shaped each piece of dough by rolling into a ball shape and pressing out with the palm of your hand.
Place them on a parchment paper lined baking sheet.
Cover with a tea towel or piece of plastic wrap and let rise for 1-2 hours.
Tip: The rise time will vary based upon the temperature in your kitchen. Rise 1 hour in a very warm place or 2 hours in a cooler room.
Preheat the oven to 375 degrees F.
Brush the top of the buns with an egg wash and sprinkle with sesame seeds.
Bake in preheated oven for 18 minutes.
Cool completely on a wire rack before storing.