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

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

Homogenous weight enumerator: w(x)=1x^0+54x^169+144x^170+24x^172+12x^175+2x^177+2x^183+2x^186+2x^192

The gray image is a code over GF(3) with n=765, k=5 and d=507.
This code was found by Heurico 1.16 in 0.245 seconds.