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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+36x^133+162x^134+14x^135+18x^136+6x^138+4x^141+2x^168

The gray image is a code over GF(3) with n=603, k=5 and d=399.
This code was found by Heurico 1.16 in 0.0976 seconds.