The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  1  1  1  1  0  0  X  0  0  X  1  1  X  1  1  1  1  1  X  0  X  1  X  1  1  1  1  1  1  X  X  0  1  1  X  X
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  0  0  1 X+1  1  1  X  0  X  X  X X+1  1  0 X+1 X+1  1  X  1  1  1  X  1  0  X  X  0  1  X  1  1  1 X+1  0  1  1
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  X  0 X+1 X+1  1  X  0  1  0  1 X+1  X  X  1  1  1  1  1  X X+1  1  1  X  1  0  0  0  0 X+1 X+1  X  1  1  1 X+1 X+1  1  X  0  1  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  X  X  X  0  0  X  0  X  0  0  X  0  0  0  X  X  0  X  0  0  X  X  0  X  X  0
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  X  0  X  0  X  X  0  X  0  X  0  X  0  X  X  X  0  X  X  X  X  X  0  0  0  X  X  0  0  X  0  X  X
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  X  X  0  X  0  0  X  X  0  0  X  0  0  X  X  X  0  0  X  X  X  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 52.

Homogenous weight enumerator: w(x)=1x^0+94x^52+104x^54+132x^56+44x^58+33x^60+32x^62+35x^64+12x^66+16x^68+8x^72+1x^76

The gray image is a linear code over GF(2) with n=114, k=9 and d=52.
This code was found by Heurico 1.16 in 0.047 seconds.