The generator matrix

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

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+183x^48+374x^50+531x^52+522x^54+558x^56+442x^58+450x^60+436x^62+304x^64+182x^66+73x^68+26x^70+10x^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 1.95 seconds.