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  2  1  1  1  1  X  1  1  1  1  1  1  1  1  X  1  1  2  1  1  X  1  X  X  1  X  0  1  1  X  X  2  1  1  1  X
 0  X  0  0  0  0  0  2  2  X X+2  X  X  X X+2  X  0 X+2  2  X  2  X  0  X  2 X+2  X  2 X+2  0  0  0  0 X+2  2  2 X+2  X X+2  X  0  X  X  X  0  2  X X+2  2  X  2  0  X  0 X+2  0  X  X  X  2 X+2  X X+2
 0  0  X  0  0  2 X+2  X  X  X  X  X X+2  0  0  0  2  2 X+2  X  2  0  0 X+2  2  2  X  0  0 X+2  X X+2  X  X X+2  2 X+2 X+2  2 X+2  2  X  2  X  X  2  2  X X+2  0  X  0  X  2  0  0  0  0  2  X  0 X+2  0
 0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  0  X  X  2  X  2 X+2  0 X+2  0  2  X  2  X  X  X  X  0  2  X  X  0 X+2  X  0  2  2  X  2  X  0  0 X+2  X  0  X  X  2  2  2  0  X  2 X+2  0  2  X X+2 X+2  X  2
 0  0  0  0  X  X  2 X+2  X X+2  2  2  X  2 X+2  X  X  2  2 X+2  0 X+2  0 X+2 X+2 X+2  0  X  0  2  X X+2  0 X+2  0 X+2  0  0 X+2  2 X+2  X  0  0  2  2 X+2  0  2 X+2  0 X+2  2  0  0  X  2  0  2  X  X  0  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+118x^56+176x^58+64x^59+228x^60+120x^61+300x^62+144x^63+294x^64+128x^65+146x^66+48x^67+118x^68+8x^69+60x^70+57x^72+18x^74+13x^76+4x^78+2x^80+1x^100

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 0.38 seconds.