The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+180x^57+225x^58+482x^59+331x^60+504x^61+290x^62+426x^63+227x^64+368x^65+222x^66+314x^67+129x^68+168x^69+74x^70+86x^71+15x^72+28x^73+15x^74+4x^75+4x^78+1x^80+2x^82

The gray image is a code over GF(2) with n=252, k=12 and d=114.
This code was found by Heurico 1.16 in 39.4 seconds.