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

generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+38x^85+120x^86+78x^87+112x^88+42x^89+40x^90+22x^91+36x^92+8x^93+6x^94+1x^96+1x^98+4x^99+2x^100+1x^114

The gray image is a linear code over GF(2) with n=352, k=9 and d=170.
This code was found by Heurico 1.11 in 0.188 seconds.