The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1  1  X  1  1  1  0  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  0  1  1  0 X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  X X+1  1  X X+1  1  X X+1  1  1  X  1  0  0 X+1  1  1  1  0  0  X  0  X  X  X  X  0  0  0  X  0  0
 0  0  X  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  X  0  X  0  X  X  X  0  X  X  0  X  0  0  0  X  0  X  X  X  0  0  X  X  X  0  X  X  0  0
 0  0  0  X  0  0  X  X  0  X  0  X  0  X  X  X  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  0  0  X  X  0  X  X  0  0  0  X  X  X  0  0  0  X  0  0
 0  0  0  0  X  0  X  0  X  X  X  X  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  X  0  0  X  X  0  X  0  X  0  0  X  X  0  X  X  0  0  X  0  X  0  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  0  X  0  0  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  0  X  X  X  X  0  0  0  X  X  0  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+19x^44+48x^46+47x^48+32x^50+42x^52+48x^54+14x^56+1x^60+2x^64+2x^76

The gray image is a linear code over GF(2) with n=100, k=8 and d=44.
This code was found by Heurico 1.16 in 0.031 seconds.