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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+96x^121+576x^122+48x^124+2x^129+4x^132+2x^156

The gray image is a code over GF(3) with n=549, k=6 and d=363.
This code was found by Heurico 1.16 in 0.0465 seconds.