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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+184x^45+164x^48+404x^51+1002x^54+1728x^57+13122x^58+1716x^60+930x^63+192x^66+144x^69+68x^72+22x^75+4x^78+2x^81

The gray image is a code over GF(3) with n=261, k=9 and d=135.
This code was found by Heurico 1.16 in 67.6 seconds.