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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+402x^159+72x^160+36x^161+868x^162+216x^163+486x^164+870x^165+810x^166+864x^167+846x^168+360x^169+72x^170+342x^171+102x^174+102x^177+20x^180+72x^183+18x^186+2x^225

The gray image is a code over GF(3) with n=747, k=8 and d=477.
This code was found by Heurico 1.16 in 1.12 seconds.