The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  0 X+2  1  1 X+2  X  1  1  X  X  1  1  1 X+2  1 X+2  1  1  2 X+2  1  1  1  1  2  X  X  X X+2 X+2 X+2  0  1  1  1  1  X X+2  0  1  1  0  1  1  1  X  1  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1  X  1  X X+1  1  1 X+2  X X+3  1  1  X X+3  3  1  X  0  3  3  X  1  X  3  0  0  2 X+2 X+2  1  1  1  1  1 X+1  2 X+3  X  2  1  1  3 X+1  1  1  0  X  0 X+1 X+2
 0  0  1  1  1  0  1  1  3  3  1  0  2  X X+2 X+2  1 X+3 X+2  3  1 X+3  X X+3  X  2 X+2  3 X+1 X+3  1 X+1  3  1  0 X+2 X+2  2 X+3  1  1  1  2  1  1  0 X+3  3  0  2  2  1  X  2 X+1  1  3  0 X+2  X  1  0  0
 0  0  0  X  0  0  2  2 X+2  X  X  X  X X+2  2  0  0  X X+2  X  X  2  0  2  0  2 X+2  0 X+2  0 X+2  X X+2  2  0 X+2  X  0 X+2  2  0 X+2  X  0  X X+2  X  2 X+2 X+2  2 X+2  0  0 X+2  X  2 X+2  2 X+2  0  0  X
 0  0  0  0  X  2  X X+2  2  2 X+2 X+2  X X+2  0  2 X+2  0  X  0  2  2 X+2  2 X+2 X+2  2  0 X+2  0  2  2 X+2  X  X  0  0 X+2  0 X+2  2 X+2 X+2  2  X  2  X  0  X  0  0 X+2  0  X  0  X  2  0  X  X  2  X X+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+302x^56+148x^57+776x^58+268x^59+1044x^60+440x^61+1080x^62+420x^63+1039x^64+328x^65+882x^66+300x^67+548x^68+104x^69+302x^70+28x^71+118x^72+4x^73+22x^74+8x^75+16x^76+10x^78+4x^80

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 5.38 seconds.