The generator matrix

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

generates a code of length 8 over Z2[X]/(X^3) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+18x^5+53x^6+92x^7+180x^8+98x^9+51x^10+16x^11+3x^12

The gray image is a linear code over GF(2) with n=32, k=9 and d=10.
This code was found by Heurico 1.11 in -1.01e-007 seconds.