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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+420x^153+90x^154+570x^156+216x^157+648x^158+622x^159+1242x^160+1296x^161+538x^162+396x^163+172x^165+116x^168+118x^171+86x^174+18x^177+10x^180+2x^225

The gray image is a code over GF(3) with n=720, k=8 and d=459.
This code was found by Heurico 1.16 in 0.832 seconds.