The generator matrix

1 0 0 0 0 1 1 1 1 1 X 1 1 0 1 1 X 1 1 1 1 X 1 1 0 X 1 X 1 X 1 1 X 1 0 X 0 1 X X 1 1 1 X 1 X 1 0 X 1
0 1 0 0 0 0 0 0 0 0 0 X X 1 X+1 X+1 1 1 X+1 1 1 X 1 X 1 1 X+1 1 1 0 X+1 X 1 X+1 X 0 X X+1 X 0 X X 1 1 X+1 1 0 1 1 0
0 0 1 0 0 0 0 1 1 X 1 1 X+1 1 0 X+1 X 1 0 X+1 1 1 X+1 1 X X+1 1 1 0 X X X 0 X X 0 X 1 1 1 1 0 X 0 X 0 0 1 X+1 0
0 0 0 1 0 1 0 X 1 X+1 X+1 0 1 0 0 X 0 1 X+1 0 X+1 X+1 X 1 0 1 X 0 X+1 1 X+1 X 1 1 1 X 1 0 X 0 X 0 X+1 0 1 X 1 X+1 X 1
0 0 0 0 1 1 X+1 X+1 X 0 1 0 X+1 1 X 1 1 0 1 0 1 X X+1 X X X 0 X+1 0 1 0 1 X 0 X 1 X X+1 0 1 X 0 X 1 1 0 0 X+1 1 1
0 0 0 0 0 X X X 0 0 0 0 X X 0 X X X 0 X X X 0 X X 0 0 0 0 0 X 0 X 0 0 X X 0 X 0 0 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 42.

Homogenous weight enumerator: w(x)=1x^0+58x^42+100x^43+133x^44+158x^45+138x^46+146x^47+140x^48+124x^49+132x^50+150x^51+124x^52+122x^53+118x^54+98x^55+76x^56+66x^57+54x^58+46x^59+35x^60+8x^61+12x^62+4x^63+3x^64+2x^65

The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.10 in 0.156 seconds.