The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1  1  1 18  3 15  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  3 22  2 15  1 14  1  1  1  0 21 24

generates a code of length 39 over Z27 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+54x^76+558x^78+108x^79+2x^81+6x^90

The gray image is a code over GF(3) with n=351, k=6 and d=228.
This code was found by Heurico 1.16 in 0.00936 seconds.