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.