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

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

Homogenous weight enumerator: w(x)=1x^0+336x^159+660x^162+1458x^164+456x^165+2916x^167+210x^168+222x^171+24x^174+84x^177+168x^180+6x^183+18x^186+2x^243

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 33.4 seconds.