The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  X  1  1  1  0  1  X  1  1  1  1  1  1  X  1  X  X  0  1  1  1  1  1  1  0  0  1  0  1  1  1  1  1  1  1  1  1
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  1  X  1  0  X X+1  1  0  X  X  0  0  1  1  1  0  1  1  X  1 X+1  1  0 X+1  1  0 X+1  X  0  X  X  1 X+1  0  0 X+1  0
 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  1  1  X  0  1  1  X X+1  1  X X+1  1 X+1 X+1  X  1  0  1  0  0 X+1  X  1  X  X  1  1  X  1  1  1 X+1  0 X+1 X+1  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  0  X  0  0  X  0  X  X  X  X  0  X  0  0  X  X  X  0  X  0  X  0  X  0  X  0  X  0  X  X  0  X  X  X  X  0  0  0
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  X  X  0  0  0  0  X  0  X  X  0  0  0  0  0  0  0  X  0  0  0  0  X  X  0  X  0  X  X  X  X  0  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  0  0  0  X  X  0  0  0  X  X  X  X  0  0  X  X  0  0  X  0  0  X  X  0  0  X  X  X  0  X  X  0  0  X  X  X  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+24x^52+42x^53+56x^54+52x^55+63x^56+66x^57+33x^58+28x^59+17x^60+22x^61+15x^62+12x^63+14x^64+26x^65+15x^66+4x^67+5x^68+5x^70+2x^72+4x^73+2x^76+4x^78

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 0.047 seconds.