The generator matrix

 1  0  1  1  2  1  1  1 X+2  1  1 2X+2  1  0  1  1  1  1 2X+2 2X+2  1  1  1  0 2X 3X  X 3X+2  1  1 3X  1  1  X  1  1 2X  1  1  1 3X+2  1  1  1  1  1  1 3X+2  X  1 2X 2X+2  1  0  1  1  X  1  X  1  1 3X+2  0
 0  1  1 X+2  1 X+3  2  3  1 X+1  X  1  2  1 X+1 2X  X  1  1  1 3X+3 3X+2 2X+3  1  1  1  1  1  0 X+2  1  1 3X 3X+2  3 X+1 2X  2 X+2  2  1  0 3X+1 2X+1 3X X+1  3  1  1 3X+1  X  1 X+3  1 3X+3 2X+1  1  0  1 3X+3  3  1  1
 0  0  X  0 3X  X 3X 2X  0 2X 3X 3X+2 3X+2 2X+2 2X+2  2 3X+2 X+2 3X+2  X X+2  2 2X+2  0  2 2X  X  X X+2 3X+2 3X+2  2 2X+2 3X+2 3X+2 X+2  X  0 2X 3X 2X+2  2 2X+2 2X  X  X 3X X+2 2X+2  0 X+2 2X+2  X 3X+2 2X  0  0  0  2 2X 3X  2 X+2
 0  0  0 2X  0 2X 2X 2X 2X  0  0 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X  0  0 2X  0 2X 2X  0  0  0 2X  0 2X 2X  0  0  0 2X 2X  0 2X  0 2X  0 2X 2X  0  0  0  0  0 2X 2X 2X  0 2X  0 2X  0

generates a code of length 63 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+196x^59+531x^60+670x^61+583x^62+640x^63+421x^64+312x^65+270x^66+164x^67+142x^68+98x^69+25x^70+32x^71+8x^72+1x^76+1x^78+1x^86

The gray image is a code over GF(2) with n=504, k=12 and d=236.
This code was found by Heurico 1.16 in 0.406 seconds.