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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+43x^88+48x^89+76x^90+96x^91+51x^92+64x^93+40x^94+32x^95+20x^96+16x^97+12x^98+8x^100+4x^104+1x^164

The gray image is a linear code over GF(2) with n=368, k=9 and d=176.
This code was found by Heurico 1.16 in 0.614 seconds.