The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1 18  1  1  1  3  1  1  1 15  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 25 17  1  3 22  2  1 15  1 14  1  0 21 16  4 24 19  9 12  7 13  6 10 18  3 26 20  8 11 23  5

generates a code of length 56 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+264x^111+324x^112+132x^114+2x^117+4x^123+2x^141

The gray image is a code over GF(3) with n=504, k=6 and d=333.
This code was found by Heurico 1.16 in 0.0347 seconds.