The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+48x^59+174x^60+8x^63+6x^66+6x^68

The gray image is a code over GF(3) with n=270, k=5 and d=177.
This code was found by Heurico 1.16 in 0.00509 seconds.