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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+96x^127+180x^128+8x^129+84x^130+216x^131+10x^132+84x^133+36x^134+2x^135+6x^136+4x^138+2x^168

The gray image is a code over GF(3) with n=585, k=6 and d=381.
This code was found by Heurico 1.16 in 0.125 seconds.