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

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

Homogenous weight enumerator: w(x)=1x^0+160x^159+1944x^160+80x^162+2x^240

The gray image is a code over GF(3) with n=720, k=7 and d=477.
This code was found by Heurico 1.16 in 0.227 seconds.