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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+139x^92+96x^94+15x^96+4x^108+1x^124

The gray image is a linear code over GF(2) with n=372, k=8 and d=184.
This code was found by Heurico 1.16 in 2.65 seconds.