The generator matrix

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

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+20x^42+34x^43+72x^44+78x^45+80x^46+74x^47+67x^48+70x^49+77x^50+70x^51+49x^52+74x^53+57x^54+78x^55+47x^56+34x^57+10x^58+14x^60+6x^62+4x^64+5x^66+1x^68+1x^70+1x^72

The gray image is a linear code over GF(2) with n=100, k=10 and d=42.
This code was found by Heurico 1.16 in 0.164 seconds.