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 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 15
generates a code of length 31 over Z27 who´s minimum homogenous weight is 61.
Homogenous weight enumerator: w(x)=1x^0+60x^61+144x^62+30x^64+2x^66+4x^69+2x^75
The gray image is a code over GF(3) with n=279, k=5 and d=183.
This code was found by Heurico 1.16 in 0.0056 seconds.