The generator matrix

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

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+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.