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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+12x^165+198x^166+6x^168+18x^169+2x^171+2x^177+4x^186

The gray image is a code over GF(3) with n=747, k=5 and d=495.
This code was found by Heurico 1.16 in 0.224 seconds.