The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+90x^52+46x^54+134x^56+30x^58+86x^60+30x^62+54x^64+18x^66+13x^68+4x^70+2x^72+2x^76+1x^80+1x^84

The gray image is a linear code over GF(2) with n=116, k=9 and d=52.
This code was found by Heurico 1.16 in 0.063 seconds.