The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+116x^54+1944x^60+88x^63+36x^72+2x^90

The gray image is a code over GF(3) with n=270, k=7 and d=162.
This code was found by Heurico 1.16 in 0.147 seconds.