The generator matrix

 1  0  0  1  1  1 X^2+X  1  1
 0  1  0  1  0 X^2+X+1  1  0  0
 0  0  1  1  1  0  1  X  0
 0  0  0  X  0 X^2  X X^2  0
 0  0  0  0  X  X X^2 X^2+X  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+35x^4+130x^5+330x^6+898x^7+1687x^8+2020x^9+1676x^10+948x^11+325x^12+90x^13+42x^14+10x^15

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 0.048 seconds.