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

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+52x^45+160x^48+222x^51+54x^52+228x^54+432x^55+262x^57+1296x^58+13444x^60+1728x^61+262x^63+864x^64+274x^66+202x^69+132x^72+60x^75+10x^78

The gray image is a code over GF(3) with n=270, k=9 and d=135.
This code was found by Heurico 1.16 in 1.17 seconds.