The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+32x^5+148x^6+448x^7+878x^8+1088x^9+872x^10+448x^11+144x^12+32x^13+4x^14+1x^16

The gray image is a linear code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.16 in 0.0188 seconds.