The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1 21  1  1  1  0  1  1  1 24  1  1  1  9  1  1  1 21  1  1  6  1  1  1  1 12  1  1  1 21  1  1  1 12  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 24  1 12  1  1
 0  1  7 26 21  4 20  1 24 23  1 19  0 20 16  1 21  4 26  1 24 19 23  1 12 16  5  1  6 10 26  1 11  0  1  4  8  9 13  1  0  4 26  1  8  9 13  1 21 24  9 21 12 12 24 18  6 16  7 19 13 16 25  7 19 10  6  1 12 13 20 15 10 23  1  1 17  1  9  0
 0  0  9  0 18 18  9  0  0  0  9 18 18  9  9  9 18  9  9  0  0 18  0  9 18  9  0  0  0 18  0  9  9  0  9  9  9 18 18  0 18 18  9  0  0  0  9  9  0 18  9  0  9  0 18  9 18 18  0  9  0 18  0 18  9  9  9  0  9  0 18  9  0 18 18 18 18 18  9  0
 0  0  0  9  0 18 18  9  9 18  9  9 18  0  9 18  9 18  9 18 18  0  0  0 18 18  9  9  0 18  0  0  9  9 18  9 18  0  0 18  9  9  0  0 18 18  0  9 18  0  0  9 18  0  9  9 18 18  9  9 18  9  0  0  0 18 18 18  0  9  9  9  0  0  0  9 18 18 18  0

generates a code of length 80 over Z27 who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+84x^154+540x^155+940x^156+36x^157+1188x^158+822x^159+216x^160+756x^161+80x^162+120x^163+702x^164+732x^165+18x^166+216x^167+92x^168+12x^172+2x^183+4x^195

The gray image is a code over GF(3) with n=720, k=8 and d=462.
This code was found by Heurico 1.16 in 0.35 seconds.