The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  0  X  0  1  1  X  1  X  0  1  1  1  0  1  X  0  1  X  0  1  1  1  1  1  0  0  X  1  1  1  1  0  1  1  X  1  0  0  1
 0  1  0  0  1  1  1  0  X X+1  1  1  1  X  1  0  1 X+1  X  1  0  0 X+1  1 X+1  1  0 X+1  1  0  X  X  X  X  0  0  X  X  0  0  1 X+1  1  0  1  1  X  1  X  0
 0  0  1  1  1  0  1  X X+1  X X+1  X  1  1  1  X X+1  0  1  0 X+1 X+1  0  1  0 X+1  1  1  X  1 X+1  1 X+1  1 X+1  1  1  1 X+1 X+1  0  X  0  X X+1  0  X  X  1  0
 0  0  0  X  0  0  0  0  0  X  X  X  0  X  X  0  X  0  X  0  0  X  X  X  X  0  X  0  X  0  0  X  X  0  0  0  0  0  X  X  0  0  X  X  0  X  X  0  X  0
 0  0  0  0  X  0  0  X  X  0  0  X  X  0  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  0  X  X  X  0  0  X  0  X  X  X  X  0  X  0  X  0  0  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  0  0  X  X  X  0  X  X  X  0  X  X  0  X  0  0  0  X  0  0  X  X  X  0  X  0  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+8x^44+68x^45+59x^46+32x^47+56x^48+54x^49+40x^50+18x^51+36x^52+40x^53+19x^54+12x^55+21x^56+18x^57+7x^58+2x^59+3x^60+8x^61+2x^62+2x^64+4x^65+1x^66+1x^68

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 0.046 seconds.