The generator matrix

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

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+293x^92+347x^96+168x^100+92x^104+58x^108+36x^112+20x^116+4x^120+5x^124

The gray image is a linear code over GF(2) with n=196, k=10 and d=92.
This code was found by Heurico 1.10 in 9.35 seconds.