The generator matrix

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

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+155x^52+158x^56+138x^60+39x^64+14x^68+4x^76+2x^80+1x^84

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 4.07 seconds.