The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+32x^89+125x^90+84x^91+132x^92+48x^93+12x^94+12x^95+21x^96+8x^97+17x^98+8x^99+6x^100+1x^102+4x^106+1x^110

The gray image is a linear code over GF(2) with n=368, k=9 and d=178.
This code was found by Heurico 1.11 in 0.234 seconds.