The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+120x^56+76x^57+368x^58+232x^59+403x^60+308x^61+438x^62+304x^63+441x^64+308x^65+320x^66+232x^67+327x^68+76x^69+72x^70+26x^72+8x^74+19x^76+10x^78+4x^80+3x^84

The gray image is a code over GF(2) with n=252, k=12 and d=112.
This code was found by Heurico 1.16 in 0.966 seconds.