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  1  1  1  1  1  1  3  3  0  1  1  1  3  3  9  1  1  1  1  1  3  3 18  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3  0  9  3  3 18  1  1  1  1  1
 0  3 24  9 21  6 18 12 15  0 21 24  9 12  6 18  3 15  0 21 24  9 12  6 18  3 15  0 21 24  9 12  6 18  3 15 21 24  3  0 21 24 12  6  3  9 12  6 18  3  3 15  3 15  0  9 18 21 12  3 24  6 15  0  9 18 21 24 12  6  3  3  3 15  3  0  9 18  0  9

generates a code of length 80 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+12x^159+198x^160+8x^162+18x^163+6x^177

The gray image is a code over GF(3) with n=720, k=5 and d=477.
This code was found by Heurico 1.16 in 0.194 seconds.