The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+122x^33+54x^34+62x^36+4x^42

The gray image is a code over GF(3) with n=153, k=5 and d=99.
This code was found by Heurico 1.16 in 0.000883 seconds.