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