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  X  0  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  0  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  0  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  X  X
 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  0
 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  X  X  X
 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  X  X

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+28x^50+45x^52+30x^54+165x^56+20x^58+126x^60+24x^62+25x^64+16x^66+21x^68+10x^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 0.0983 seconds.