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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+48x^77+174x^78+8x^81+4x^84+6x^86+2x^93

The gray image is a code over GF(3) with n=351, k=5 and d=231.
This code was found by Heurico 1.16 in 0.0128 seconds.