The generator matrix

1 0 0 0 1 1 1 0 1 1 X 1 X 1 0 X 1 1 X 1 1 1 1 X 1 1 1 1 1 0 0 X X 1 1 0 1 1 X 1 X 1 0 0 1 1 1 X 1 1 1 X X X 1 X 0
0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X 1 X 1 X 1 X+1 1 0 0 X X+1 X+1 X+1 1 1 1 X 0 X X 1 X+1 1 X+1 1 X+1 1 1 1 1 X+1 0 X+1 X X 0 0 X X+1 1 1
0 0 1 0 0 1 1 1 X X+1 X+1 0 X+1 X+1 0 0 X X 1 1 0 X X+1 0 X X+1 0 X+1 1 1 0 X 1 X X 1 X+1 0 0 X+1 X 1 X X X+1 1 X+1 1 X 0 0 0 1 X 1 X X
0 0 0 1 1 X X+1 1 0 0 0 X+1 X+1 X+1 1 1 X 1 1 X+1 X+1 X 1 1 X+1 0 X+1 1 0 X X 0 X+1 0 X+1 X X 0 X X X+1 X X+1 X+1 X+1 X+1 X X+1 X+1 X X X 1 0 1 1 0
0 0 0 0 X 0 X X 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 X 0 X X X 0 X X X X 0 0 X X 0 0 X 0 X 0 0 X 0 X X 0 0 X X 0 X 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+95x^52+120x^54+103x^56+48x^58+52x^60+28x^62+21x^64+18x^66+9x^68+8x^70+7x^72+2x^74

The gray image is a linear code over GF(2) with n=114, k=9 and d=52.
This code was found by Heurico 1.10 in 0.015 seconds.