The generator matrix

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

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+30x^5+152x^6+522x^7+606x^8+1452x^9+640x^10+532x^11+128x^12+22x^13+8x^14+2x^15+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 0.0149 seconds.