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 0 1 1 X 0 1 0 1 1 1 X 1 1 1 1 1 1 1 1 X 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 0 0 1 1 X+1 1 1 0 1 X 1 X 1 1 0 0 0 1 X X+1 X 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 0 X 0 0 X 0 X 0 X 0 X 0 X X X X 0 X 0 0 0 0 0 X
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 0 X X X X X X X X X X X X 0 0 X X X X 0 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 0 0 0 0 X X 0 0 X 0 0 0 X X X X X X 0
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 0 X X 0 X 0 X 0 X 0 X X 0 X X 0 0 0 X X 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 0 X X 0 0 0 0 X 0 X X 0 X 0 0 X 0 0 X X 0 0 0 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 X X X X 0 0 0 X X 0 0 0 0 X 0 0 X 0 X X 0 0 X 0
generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.
Homogenous weight enumerator: w(x)=1x^0+90x^42+139x^44+155x^46+154x^48+137x^50+144x^52+103x^54+60x^56+16x^58+11x^60+5x^62+1x^64+5x^66+2x^68+1x^70
The gray image is a linear code over GF(2) with n=98, k=10 and d=42.
This code was found by Heurico 1.16 in 0.487 seconds.