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  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
 0  9  0  0  0  0  0  0  0  0  9 18  9  9  9  9  9  9  9  9 18  0  0  9  9 18  9  0  0  0  9  0 18  9 18  9 18  9 18  0 18  0  9  0  9  0  9  0  0  9 18 18 18 18  0  9  9  0  0 18 18 18  9 18 18 18  0  9 18  0  9 18  0  9 18 18 18 18 18 18 18  0  0  0  0  9
 0  0  9  0  0  9  0  9  9 18 18  0 18  9  0  9  9 18  9  9  0  9  0 18  0  9  0  9  0  0  9  9  0  0  9  0  9  0  9  9  0  0  9 18  9 18  0 18  0 18 18  9  0 18  9 18 18 18 18 18  0  9 18 18 18 18 18 18 18 18  9  0 18  0  9  0  9 18  0  9 18  0  0  0  9 18
 0  0  0  9  0 18  9 18  9 18  0  9 18 18 18 18  9  9  0  9 18  9  9  9 18  0  0  0 18 18  9 18  9 18 18  9  9  9  9  0  0 18  0  9  0  0  0  9  0 18 18 18  0  0  9  0  9  0  9  0  0  9  0  0  9  9  0 18  9 18 18 18 18  9  0  9  0 18 18 18 18  0  0  9 18 18
 0  0  0  0  9 18 18  0 18 18 18  0 18  9  9 18 18  0  0  0  9  9  9  9  0 18 18 18  0 18  9  9 18 18  0  0  0  9 18  9  9  9 18 18  9  9  9  9 18  0  0  9 18  9  0  0 18  0  0 18  0  9  9  0 18  9 18  9  0  0  0  0  9 18  0  9  9  9 18 18 18  0  9 18 18 18

generates a code of length 86 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+10x^165+40x^168+80x^171+1944x^172+80x^174+30x^177+2x^258

The gray image is a code over GF(3) with n=774, k=7 and d=495.
This code was found by Heurico 1.16 in 0.318 seconds.