The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1 18  1  1  1  3  1  1  1 15  1  1  1  0  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  9 12  1  6  1  1  1  1  3 15  1 18  1  1 21  1  1  1  1  1  1  1  9 12 24  6
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  1  3 22  2  1 15  1 14  1  0 16 26  1 21  4 20  1 24 19 23  1  9  7  8  1 21 12 13 11  1  1  6  1 10  5 18 15  1  1  3  1  0 24  1 25 22 17  2  9 12  6  1  1  1  1

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

Homogenous weight enumerator: w(x)=1x^0+312x^163+252x^164+156x^166+4x^174+4x^195

The gray image is a code over GF(3) with n=738, k=6 and d=489.
This code was found by Heurico 1.16 in 2.02 seconds.