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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+72x^165+6x^174+2x^180

The gray image is a code over GF(3) with n=738, k=4 and d=495.
This code was found by Heurico 1.16 in 0.214 seconds.