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

generates a code of length 77 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+12x^153+198x^154+6x^156+18x^157+2x^162+6x^168

The gray image is a code over GF(3) with n=693, k=5 and d=459.
This code was found by Heurico 1.16 in 0.167 seconds.