The generator matrix

 1  0  1  1  1  0  X  1  1
 0  1 X+1 X^2+X  1  1  0  0  0
 0  0 X^2  0  0  0 X^2  0  0
 0  0  0 X^2  0  0 X^2  0  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+23x^4+32x^5+32x^6+96x^7+205x^8+256x^9+184x^10+96x^11+53x^12+32x^13+8x^14+6x^16

The gray image is a linear code over GF(2) with n=36, k=10 and d=8.
This code was found by Heurico 1.16 in 0.000918 seconds.