Some solutions for n=2
..2....0....1....0....0....0....0....1....0....2....2....2....1....0....0....0
..0....1....0....1....1....2....1....2....0....2....2....2....0....0....1....2
..0....1....0....0....0....0....2....2....0....2....1....1....0....1....0....0
..1....0....0....0....0....1....0....0....2....1....2....2....0....0....2....0
..0....1....2....2....1....1....0....2....0....0....2....1....2....1....0....2
..2....2....2....0....0....0....1....0....0....2....2....2....0....0....2....1
..2....0....0....0....2....0....1....2....2....0....0....2....2....0....0....0
..0....0....1....1....1....2....1....1....0....2....0....2....0....0....1....0
..2....0....2....1....0....0....2....2....0....0....1....2....0....1....2....0
..2....0....0....0....1....1....2....2....0....0....0....0....0....2....2....2
..0....0....0....0....0....2....1....1....2....1....0....1....1....1....2....2
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