The generator matrix

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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+70x^44+54x^46+118x^48+70x^50+83x^52+50x^54+35x^56+18x^58+3x^60+5x^64+3x^68+1x^72+1x^76

The gray image is a linear code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.16 in 0.032 seconds.