The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  X  1  1  X  X  X  X  X  1
 0  3  0  0  3  0  3  3  0  3  0  3  0  3  0  3  0  3  3  3  6  3  6  6  6  3  6  6  6  6
 0  0  3  0  6  3  6  3  0  3  3  0  6  6  6  3  6  0  6  6  0  3  3  0  0  3  0  3  6  3
 0  0  0  3  6  6  0  6  6  0  3  6  0  3  3  3  6  3  6  3  0  0  0  3  0  3  3  0  3  6

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+60x^56+24x^57+48x^59+514x^60+20x^63+48x^65+6x^66+6x^68+2x^78

The gray image is a code over GF(3) with n=270, k=6 and d=168.
This code was found by Heurico 1.16 in 0.403 seconds.