The generator matrix

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

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+61x^56+128x^57+60x^58+142x^59+76x^60+318x^61+93x^62+394x^63+54x^64+344x^65+47x^66+88x^67+45x^68+72x^69+37x^70+12x^71+16x^72+32x^73+16x^74+2x^75+3x^76+2x^77+2x^78+2x^79+1x^106

The gray image is a code over GF(2) with n=252, k=11 and d=112.
This code was found by Heurico 1.16 in 0.425 seconds.