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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+44x^88+82x^89+114x^90+76x^91+72x^92+68x^93+18x^94+20x^95+6x^97+2x^98+1x^100+4x^101+2x^102+1x^104+1x^116

The gray image is a linear code over GF(2) with n=364, k=9 and d=176.
This code was found by Heurico 1.16 in 0.293 seconds.