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  3  3  1  1  3  1  3  1
 0  9  0  0  0  0  0  0  0  0  9  9  9  9  9 18 18 18  0 18 18  9  0  9  9  0  9  0  0  0
 0  0  9  0  0  0  0  0  9  9 18 18 18  9 18  0 18 18  9  0 18  0  0  9  9  9 18  0  9  0
 0  0  0  9  0  0  0  9 18 18 18  9  9  0  0  9  0  0  9  0 18  9  9  0 18  9  0  9 18  0
 0  0  0  0  9  0  0 18 18  9  9  0 18 18 18  9  0  0  0  9 18  9  0 18  9 18  9  0  9  0
 0  0  0  0  0  9  0 18  9 18  9 18  0 18 18  0  0  9  9 18  9  9 18  9  0  0 18  9 18  0
 0  0  0  0  0  0  9  9  0  9  0  9  0 18  0 18 18  0 18  9  0  9  9  9  9 18  9 18 18 18

generates a code of length 30 over Z27 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 1.14 seconds.