The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+26x^4+116x^5+458x^6+752x^7+1558x^8+2360x^9+1572x^10+752x^11+458x^12+116x^13+18x^14+5x^16

The gray image is a linear code over GF(2) with n=36, k=13 and d=8.
This code was found by Heurico 1.16 in 0.042 seconds.