The generator matrix

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

generates a code of length 10 over Z3[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+72x^15+222x^18+324x^21+90x^24+20x^27

The gray image is a linear code over GF(3) with n=30, k=6 and d=15.
This code was found by Heurico 1.16 in 0.00105 seconds.