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  3  3  3  3  3  3  3  3  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3  3  1  1  9  1  1  9  9  9  9  9  9  9
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  9  9  9  0 18 18 18  0  0  9  9  0  9 18 18 18  0  9  9  9  0 18 18 18  0  0  9  9  9  9  0 18 18 18  0  9
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9 18  0  0  9 18  9 18  9  0 18  0  9 18  0  9 18  9 18  0  0  9 18  9 18  9  0 18  0  9 18  0  9 18  9 18  0  9  9 18  0 18  9

generates a code of length 82 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+144x^163+54x^164+12x^168+8x^171+18x^172+6x^174

The gray image is a code over GF(3) with n=738, k=5 and d=489.
This code was found by Heurico 1.16 in 0.215 seconds.