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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+198x^125+312x^126+1134x^128+378x^129+54x^131+72x^134+36x^135+2x^189

The gray image is a code over GF(3) with n=576, k=7 and d=375.
This code was found by Heurico 1.16 in 12.2 seconds.