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