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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+20x^168+156x^169+486x^170+20x^171+30x^174+10x^177+6x^196

The gray image is a code over GF(3) with n=765, k=6 and d=504.
This code was found by Heurico 1.16 in 1.61 seconds.