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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+204x^169+414x^170+102x^172+2x^177+2x^183+2x^201+2x^204

The gray image is a code over GF(3) with n=765, k=6 and d=507.
This code was found by Heurico 1.16 in 3.37 seconds.