The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+71x^58+220x^59+601x^60+420x^61+671x^62+348x^63+604x^64+314x^65+447x^66+202x^67+130x^68+12x^69+25x^70+12x^71+6x^72+4x^73+1x^76+1x^80+2x^81+2x^82+2x^83

The gray image is a code over GF(2) with n=504, k=12 and d=232.
This code was found by Heurico 1.16 in 0.359 seconds.