The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X 1 1 X 1 X X X 1 1 X 1 0 X X 1 1
0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 X 0 0 X X X X 0 X 0 0 X 0 X 0 0 0 0 X X X 0 0 X 0 X 0 X 0 X X X X X X 0 0 0 0 X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 X 0 X X X 0 X X X 0 0 0
0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 0 0 0 X X 0 X 0 X X X X X X 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 X 0 X X 0 X X 0 X 0 0 X 0 X 0 0 X X 0 0 0 0
0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 X 0 0 X X 0 X X 0 X X X 0 X 0 X X 0 X 0 0 X X X 0 0 0 X X X 0 0 0 X X 0 0 0 0 X X X 0 0
0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 X X 0 X X X 0 0 0 X X 0 0 X 0 X X X 0 0 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X X X X X X 0 0 0 0 X X 0 0 X X 0 0 X 0 X X 0 X 0 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 X X
0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 0 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X X X X 0 X X 0 X X X X X 0 X 0 0 0 0 X X X X X X 0 X X 0 0 X X X X X X 0 X X X 0 X X 0 X X 0 0 X 0 0
0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 X X X X 0 0 X X 0 X X X X X X X 0 X 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X X 0 X X X X X X 0 0 X 0 X X X 0 0 X 0 0 0 X
0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 X 0 X X X 0 X 0 0 0 0 0 X 0 X X X X 0 0 X X 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 0 0 X X X 0 X 0 X 0 X X 0 0 0 X 0 X X 0 0 0 X 0 X 0 0 X X 0 0 0 X 0 X 0
0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X 0 X X X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X X X X X X X X 0 X 0 0 X X 0 X X 0 X 0 0 X 0 0 0 X 0 0 X X 0 0 X X 0 0 X X 0 0 0 X 0 0 0 X 0 0
generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.
Homogenous weight enumerator: w(x)=1x^0+75x^86+115x^88+28x^90+56x^92+187x^94+179x^96+96x^98+72x^100+85x^102+67x^104+4x^106+33x^110+20x^112+4x^118+1x^120+1x^168
The gray image is a linear code over GF(2) with n=192, k=10 and d=86.
This code was found by Heurico 1.16 in 3.59 seconds.