The generator matrix
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 1 1 3 3
0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 3 15 21 24 3 12 6 3 0 9 21 12 18 3 24 6 3 15
generates a code of length 34 over Z27 who´s minimum homogenous weight is 67.
Homogenous weight enumerator: w(x)=1x^0+60x^67+144x^68+30x^70+4x^75+4x^78
The gray image is a code over GF(3) with n=306, k=5 and d=201.
This code was found by Heurico 1.16 in 0.00774 seconds.