Some solutions for n=1
..2....1....4....1....3....1....2....3....3....5....6....3....4....5....5....3
..0....2....5....4....0....2....1....0....0....1....3....1....1....5....2....3
..3....4....4....3....0....2....1....4....0....1....0....5....1....0....0....5
..0....6....1....1....0....4....3....5....0....2....1....5....4....3....3....3
..1....4....0....0....3....5....2....2....3....6....5....1....2....2....6....6
..3....3....6....0....5....0....4....2....0....5....0....2....2....6....6....2