Mix water and salt in a large bowl and brine turkey breasts in it. Let soak for 4 hours in the fridge.
Preheat oven to 325 F.
Remove turkey from brine and remove any moisture from turkey with a paper towel. Place turkey on a baking sheet. Liberally rub oil on the surface of the meat. Bake in the oven about 30 minutes, until a meat thermometer indicates 170 F inside.
Meanwhile, make the sauce. Put all the ingredients for the sauce in a medium sauce pan and heat to boiling. Cook until slightly thickened. Let cool.
Turn the oven up to 450 F. Move the oven rack to the top. Brush or spoon the sauce all over the baked meat and bake the glazed turkey for 2 minutes. Repeat twice, taking care not to burn.
Let rest for 10 minutes. Slice and serve.