The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1 15 18  1 12  1 12  1  1  1  1  9  1  1  1  1  1 24  1  1 21  6  1 18  1  1  1  1 18  1 15  3  1  1  1  0 12  1  1  1  1  1  1  1  3  1  1  3  1  1  1 24 21  3  1 18  1  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 21  1  8  1 14 12 22  6 25 26  1  6 10 11 19 15  1  5  3  1  1 13  1  0  4  7 11 15 20  1  1 13 14  8 12  1 23 10  2  9  3  1  8  1 12 24  9 15 13 23  1  1 24 26  1 20 18  0
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26  1 12 11 14  3  1 19 13  3  0 16 16  1 12 15 14 21 20 18 25 14  2  1 19 13 24 22  1  8 19 26 15  6 10  1  1  9 11 20 26  2 12  8 21  6 13  1  2  8 11 16  9  1  3  6 25  5  9

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

Homogenous weight enumerator: w(x)=1x^0+984x^154+1794x^155+1050x^156+2682x^157+2340x^158+906x^159+2142x^160+1686x^161+510x^162+1380x^163+1158x^164+476x^165+936x^166+756x^167+186x^168+450x^169+204x^170+20x^171+12x^172+8x^174+2x^183

The gray image is a code over GF(3) with n=720, k=9 and d=462.
This code was found by Heurico 1.16 in 10.3 seconds.