The generator matrix

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

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+146x^92+120x^93+172x^94+128x^95+144x^96+52x^97+58x^98+24x^99+42x^100+40x^101+24x^102+8x^103+21x^104+12x^105+2x^106+19x^108+10x^112+1x^116

The gray image is a linear code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.11 in 0.438 seconds.