The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+221x^48+354x^50+496x^52+470x^54+570x^56+522x^58+494x^60+384x^62+292x^64+162x^66+88x^68+26x^70+12x^72+2x^74+2x^76

The gray image is a linear code over GF(2) with n=114, k=12 and d=48.
This code was found by Heurico 1.16 in 4.48 seconds.