The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+6x^6+9x^8+96x^9+9x^10+6x^12+1x^18

The gray image is a linear code over GF(2) with n=36, k=7 and d=12.
This code was found by Heurico 1.16 in 0.000267 seconds.