The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  X  1  0  0  1  X  1  X  1  1  0  0  1  1  1  1  0  1  1  0  1  X  0  0  X  1  1  1  X  X  1  0  1  1  1  1  0  1  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  1 X+1  X  1 X+1  X  0  X  1  X  1  1 X+1  1  0  0  X  0 X+1  1 X+1  1  1  X  1  1  0  0  0  0 X+1  1  1  0  1  1  1  1 X+1  1  1  X  0
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  1  1  X  X  0  1  1  1  X  X X+1  1  1  X X+1  1 X+1 X+1  0  X  0  1  X  X  0  X  1  1  1  1  X X+1 X+1  1 X+1  X  0 X+1 X+1  0  X  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  0  0  0  X  X  X  X  X  0  0  X  0  X  0  0  X  X  X  0  0  0  X  X  0  X  0  0  X  X  X  X  X  X  X  0  0  X  X  X  0  X  0
 0  0  0  0  X  0  0  0  X  0  0  0  0  X  0  0  X  X  X  X  X  0  X  X  0  X  0  0  0  X  X  X  0  0  X  0  0  0  X  0  0  X  0  X  X  0  X  X  X  X  0  0  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  0  0  X  X  0  0  X  X  X  0  0  X  X  X  X  X  X  X  X  X  X  X  0  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  0  0  X  0  X  0  X  0  X  X  X  X  X  X  0  0  X  0  0  X  0  0  X  X  0  X  X  0  X  X  0  X  0  0  0  X  0  X  X  X
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  X  X  X  0  X  X  X  0  0  0  X  0  0  X  0  0  0  0  X  X  0  0  0  X  X  0  X  X  X  0  X  X  X  X  0  0  X  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+47x^48+200x^50+279x^52+292x^54+279x^56+238x^58+243x^60+189x^62+132x^64+76x^66+37x^68+22x^70+5x^72+6x^74+1x^76+1x^78

The gray image is a linear code over GF(2) with n=114, k=11 and d=48.
This code was found by Heurico 1.16 in 0.519 seconds.