The generator matrix

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

generates a code of length 63 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+83x^58+298x^59+348x^60+612x^61+469x^62+626x^63+500x^64+442x^65+269x^66+250x^67+108x^68+64x^69+7x^70+4x^71+2x^72+2x^73+2x^74+6x^79+1x^80+2x^82

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 0.422 seconds.