The generator matrix

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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+46x^45+75x^46+70x^47+58x^48+36x^49+38x^50+36x^51+24x^52+20x^53+14x^54+14x^55+23x^56+14x^57+14x^58+8x^59+3x^60+10x^61+3x^62+2x^64+2x^65+1x^68

The gray image is a linear code over GF(2) with n=100, k=9 and d=45.
This code was found by Heurico 1.10 in 2.36 seconds.