The generator matrix

 1  0  0  1  1  1  0 X^2 X^2 X^2  1  1  1  1 X^2+X  X  1  1  X  1  1  1 X^2+X  1  1  1  X X^2 X^2+X  1  1 X^2+X  1  1  0  1  0  1  1  X  1 X^2+X  X X^2  1 X^2  1 X^2+X  1  1  1  0  1  0  1  X  1  1 X^2  1  X  1  1  1  X  1 X^2+X  0 X^2+X  X  X  1  0  1  0  X X^2  1  1  1  X  1  1 X^2+X  0  0  X X^2  1 X^2+X  1  1  1  1 X^2+X  0
 0  1  0  0 X^2+1 X^2+1  1  X  1  1 X^2 X^2 X^2+1 X^2+1  0 X^2+X X^2+X X^2+X+1  1 X^2 X^2  1 X^2 X+1  1  X  1  1  1 X^2+1  X  1 X^2+X+1 X+1  1 X^2+X  X X^2+1 X+1  1  0  1  1  1  X  1 X^2+X+1  1 X^2+X+1 X+1 X^2+X  0  0 X^2  X  X X^2+X  0 X^2+X  1 X^2  X X^2+X  0  0  1  X  1  1  1  1  X  1 X^2+X+1  1  X  1 X^2 X^2+X  0  1 X^2 X^2  1  1  1 X^2+X  0 X+1  1 X^2+X X^2+X+1 X^2  1 X^2+X  0
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X  1  X X^2+1  1 X^2+X  1  1 X^2+X  0 X^2+X X^2+X+1 X^2 X+1  1  0 X^2+1 X+1  1  1  0 X^2 X^2+1 X^2  X X^2+X+1  X  1  1  X X^2+X  1  X X^2+X X^2+X+1 X+1 X^2 X^2  1 X^2+X+1 X+1  1 X^2  1  0  1 X^2+X+1  1  0 X^2+1  1  X  1 X^2+X X^2+1 X+1  X  0  1  1 X^2+1 X+1 X^2+X+1 X+1 X+1 X^2+X+1 X^2+X+1  1 X^2+X  X  X  1 X^2+1 X^2+1 X+1  1 X^2+1  1  1  1  X X^2+1 X+1 X^2 X^2+X  X  1  1
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2

generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+202x^92+299x^94+219x^96+124x^98+62x^100+47x^102+42x^104+6x^106+9x^108+4x^110+7x^112+1x^120+1x^124

The gray image is a linear code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.16 in 0.586 seconds.