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

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+95x^44+30x^46+121x^48+70x^50+83x^52+26x^54+52x^56+2x^58+21x^60+10x^64+1x^84

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 16.8 seconds.