The generator matrix
1 0 0 0 1 1 1 0 1 1 1 X 1 0 0 1 X 1 1 X 1 X 1 1 0 0 0 0 0 1 1 1 X 1 X 1 1 1 1 X 1 1 X 1 0 0 X 1 1 1
0 1 0 0 0 1 1 1 X+1 X 1 1 0 1 X 1 1 1 1 1 X+1 0 X 0 0 1 1 1 1 0 X X 1 X+1 X X+1 1 1 X+1 1 X X 1 X 0 0 1 X+1 X 0
0 0 1 0 1 1 0 1 1 1 X 0 X 1 1 1 0 X X+1 0 1 1 1 X 1 X+1 1 X+1 X 1 1 0 X+1 X 1 0 1 X 1 0 0 X+1 X 0 0 1 X+1 X X+1 X+1
0 0 0 1 1 0 1 X+1 X+1 0 X X+1 1 X 1 0 1 1 0 1 1 X X+1 X 1 0 X 1 0 X X+1 X+1 1 X+1 X 0 1 0 1 0 1 X+1 X 1 1 X+1 1 X X+1 0
0 0 0 0 X 0 0 X X X X X 0 0 0 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 0 0 X X X X X 0 X X X 0 X X 0 0 0 0 0
0 0 0 0 0 X 0 0 0 0 X X 0 X X X X 0 0 0 X 0 X X X X 0 X X X 0 X X X X X 0 0 X 0 X X X 0 0 X X 0 0 X
0 0 0 0 0 0 X 0 0 X X 0 X X 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 X 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+72x^42+278x^44+317x^46+287x^48+286x^50+239x^52+201x^54+161x^56+123x^58+55x^60+22x^62+3x^64+3x^66
The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.16 in 0.431 seconds.