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

generates a code of length 90 over Z2[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+217x^88+168x^90+70x^92+16x^94+24x^96+8x^98+2x^100+5x^104+1x^112

The gray image is a linear code over GF(2) with n=360, k=9 and d=176.
This code was found by Heurico 1.16 in 0.282 seconds.