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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+24x^127+198x^128+12x^130+4x^132+2x^147+2x^165

The gray image is a code over GF(3) with n=576, k=5 and d=381.
This code was found by Heurico 1.16 in 0.0815 seconds.