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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+78x^93+2x^99

The gray image is a code over GF(3) with n=414, k=4 and d=279.
This code was found by Heurico 1.16 in 0.0234 seconds.