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

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 0.297 seconds.