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.