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

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+240x^88+120x^90+100x^92+8x^94+27x^96+12x^100+4x^104

The gray image is a linear code over GF(2) with n=360, k=9 and d=176.
This code was found by Heurico 1.11 in 819 seconds.