The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  1  1  X  1  1  1  1  1  X  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  X  X  X  0  X  0  0  X  0  X  X  0  0  0  0  0  X  0  X  0  0  X  0  X  X  X  X  0  X  0  X  0  X  0  0  X  0  0  X  X  0  X  0  0  X  X  0  X  0
 0  0  X  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  0  X  0  0  0  X  X  X  X  0  X  X  0  X  0  0  0  0  0  X  X
 0  0  0  X  0  0  0  0  X  0  0  X  0  X  0  0  0  0  0  0  X  X  X  X  X  0  X  0  X  X  X  X  0  X  0  X  X  0  X  0  X  X  X  X  X  0  X  0  0  0  X  X  X  X  X  X  X  0
 0  0  0  0  X  0  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  0  X  0  0  0  0  X  0  X  X  X  0  0  X  0  X  X  X  X  X  0  0  0  X  X  0  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  X  0  X  0  X  X  X  X  X  X  X  X  0  0  0  0  X  0  X  X  X  0  0  X  X  0  X  X  0  X  X  X
 0  0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  X  X  X  0  0  0  X  X  0  0  0  0  X  X  0  0  0  X  X  X  0  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  X  0  X  0  0  0
 0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  0  0  0  X  X  0  X  X  0  0  0  0  0  X  0  X  X  X  X  0  X  0  X  X  X  X  0  0  X  X  X  0  0  0  0  0  0  X  X  0  X  0  0

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+24x^50+47x^52+32x^54+165x^56+28x^58+122x^60+20x^62+25x^64+12x^66+23x^68+12x^70+1x^104

The gray image is a linear code over GF(2) with n=116, k=9 and d=50.
This code was found by Heurico 1.16 in 0.078 seconds.