The generator matrix

 1  0  1  1  1 X^2+X  X  X  1
 0  1  1 X^2+X X^2+X+1  1 X^2 X^2 X^2
 0  0  X  0 X^2+X X^2  X  X X^2
 0  0  0 X^2 X^2 X^2  0 X^2  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+30x^6+48x^7+161x^8+32x^9+161x^10+48x^11+30x^12+1x^18

The gray image is a linear code over GF(2) with n=36, k=9 and d=12.
This code was found by Heurico 1.16 in 0.001 seconds.