The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+14x^63+216x^64+6x^66+2x^69+4x^78

The gray image is a code over GF(3) with n=288, k=5 and d=189.
This code was found by Heurico 1.16 in 0.00632 seconds.