Preheat oven to 325 degrees. Wash brisket. Place in large roasting pan on oven rack. Cover meat with boiling water; add pickling spices; cover pan with aluminum foil. Bake for 2 hours or until tender when pierced with 2-tined fork. Allow to cool in cooking liquid. (This can be done the day before; refrigerate.)
About 1 hour before serving, drain meat and place in roasting pan. Bake at 325 degrees for 30 minutes. Combine brown sugar and mustard spread over corned beef. Bake 30 minutes longer.