The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+282x^152+552x^153+702x^154+1284x^155+1336x^156+1512x^157+1830x^158+1750x^159+1620x^160+2016x^161+1716x^162+1188x^163+1248x^164+878x^165+702x^166+504x^167+246x^168+108x^169+24x^170+18x^171+54x^173+26x^174+24x^176+20x^177+18x^179+8x^180+6x^182+6x^183+4x^192

The gray image is a code over GF(3) with n=720, k=9 and d=456.
This code was found by Heurico 1.16 in 1.6 seconds.