The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  X  1  0  X  X  1  X  1  1  1  X  X  1  0  0  1  1  1  1  0  X  X  X  1  X  1  1  1  0  1  1  X  0  0  0  X  0  X  1  1  0  1  0  0  0  X
 0  1  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  0  X  X  X  X  1 X+1 X+1  1  1  1  1 X+1  1 X+1 X+1  1  1  1  X  1  0  1  1  1  1  1 X+1  0  1  1  X  X  1  1
 0  0  1  0  0  0  0  0  X  X  1  1 X+1  1  X  1  X  1  X  1 X+1  1  0  X  1  0  0  X X+1  1 X+1 X+1 X+1  1  1  0  X X+1  0  0  X  1  X  1 X+1  1 X+1  X  X  1  1  1  1  1  1  X  0
 0  0  0  1  0  0  X  1 X+1  1  0  1  1 X+1  1 X+1  1  0  0 X+1 X+1  0  1  X X+1  X  1  0  0  0  X  1  0  X  0  X X+1  X X+1  1  0  X X+1 X+1  1  1  1 X+1  1  X  X  1  X  1  0  0  X
 0  0  0  0  1  0 X+1  1  0  1  X X+1 X+1  1  X  0  0 X+1  1 X+1  0  X X+1  0  X  1  1  X X+1  1 X+1  X  0  X  0  0  1  0  1  1 X+1 X+1 X+1  0 X+1  X X+1  X  1  0  0  1  1 X+1 X+1  1  0
 0  0  0  0  0  1  1  X  1  1 X+1  X  1 X+1 X+1  X  0  0  X  X X+1  1  0  1  1  1 X+1  1 X+1  0  1  0 X+1  X X+1 X+1 X+1  0  0  0  0  1 X+1  1  X X+1 X+1  X  0  1 X+1  X  1  0  X X+1  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+196x^48+416x^50+466x^52+478x^54+529x^56+538x^58+503x^60+392x^62+270x^64+170x^66+103x^68+22x^70+12x^72

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.