The generator matrix

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

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+113x^4+546x^6+2417x^8+2048x^9+2396x^10+567x^12+98x^14+6x^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 0.0675 seconds.