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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+58x^171+162x^172+6x^174+6x^177+2x^180+6x^189+2x^207

The gray image is a code over GF(3) with n=774, k=5 and d=513.
This code was found by Heurico 1.16 in 0.257 seconds.