The generator matrix

 1  0  0  1  1  1  X  0  1  1  1  X  0  1 X+2  1  1  2  1  1  1  1  2  0  1  X  X  1  1  1 X+2  2  1  1  1  0  1  1 X+2  1  1  1  0  1  1  X  2  X  1  2  2  1  2  1  1  1  1  1  1  1  1 X+2  0
 0  1  0  0  1 X+3  1  1  X X+1  1 X+2  1  X  2  1 X+2  1  X X+2  3  2  1  1 X+3  1 X+2  3 X+2  3  1  X  X  1 X+3  1  2  3  1 X+1 X+2  1  0  2 X+3  1  1  0  1  1  1 X+1  0  2  X  0 X+1  1 X+1 X+2 X+3  1  1
 0  0  1  1  1  0  1 X+1 X+1  X X+3  1  X X+2  1  X  2 X+1  X  1  1  3 X+2  1 X+3  2  1 X+2 X+1 X+1  3  1  2  2 X+2  0 X+3  3 X+3 X+3  3  X  1  2  3 X+2  0  1  2  2  0  X  1  2  0  3  X X+2  2  2 X+3  2  3
 0  0  0  X  0 X+2  2  0  X X+2  0  0 X+2  2  X  2  X  X X+2  0 X+2  2  0 X+2  2  X  X  2  0  X  X  X X+2  0  2 X+2  0  2  0  2  0  X  2  2  0 X+2  2 X+2 X+2  X X+2  2  X  X  0  2  X  0  0 X+2  X  2 X+2
 0  0  0  0  2  0  2  0  2  2  0  2  2  2  0  0  2  2  0  0  0  2  2  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  0  0  0  2  2  0  2  2  0
 0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  2  2  0  0  0  2  2  2  2  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  0  2  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+272x^56+276x^57+612x^58+424x^59+852x^60+560x^61+1008x^62+632x^63+775x^64+508x^65+732x^66+396x^67+472x^68+184x^69+236x^70+80x^71+104x^72+8x^73+32x^74+4x^75+20x^76+4x^78

The gray image is a code over GF(2) with n=252, k=13 and d=112.
This code was found by Heurico 1.16 in 3.63 seconds.