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  3  1  3  1  1  3  1  1  1  3  3  1  3
 0  9  0  0  0  0  0  0  0  0  0  0  0  9  9 18 18 18  9 18  9  9  9 18 18  0  9  9  0  0 18  0 18 18  9  0  9  9  0
 0  0  9  0  0  0  0  0  0  0  0  9  9 18  9  0  9 18 18 18  0  0  9  9 18  9  0 18  9 18  9  9  0  0  9  9  0 18  9
 0  0  0  9  0  0  0  0  9 18 18 18 18 18  9  0  9 18  0  0  0 18 18  9  0 18 18  9  0  9 18  9 18 18  9  0 18 18  0
 0  0  0  0  9  0  0  9 18  0 18 18  9  9  9 18  9  9  0 18  9 18 18 18  9  0  0 18 18 18  9 18 18 18 18  0  0  0 18
 0  0  0  0  0  9  0 18 18  9  0 18 18  9 18 18  9 18 18  9 18  9 18 18  0  9 18  9 18  0 18  9  9 18  0  9  9  9  0
 0  0  0  0  0  0  9 18 18 18 18  9  0  9  9  0  0  9 18  9  9  9  9  0 18 18 18  0 18  9  9  9  9 18  9  9 18 18  0

generates a code of length 39 over Z27 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+104x^63+176x^66+312x^69+616x^72+1156x^75+14818x^78+1410x^81+616x^84+172x^87+152x^90+104x^93+34x^96+12x^99

The gray image is a code over GF(3) with n=351, k=9 and d=189.
This code was found by Heurico 1.16 in 1.71 seconds.