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

generates a code of length 30 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+156x^51+178x^54+324x^57+5208x^60+504x^63+132x^69+42x^72+12x^78+4x^81

The gray image is a code over GF(3) with n=270, k=8 and d=153.
This code was found by Heurico 1.16 in 68.2 seconds.