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