The generator matrix

 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  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  3  1  3  1  1  1  3  1  1  1  1  3  3  3  9  3  1
 0  9  0  0  9  0  9  9 18  0  0  9  9  0 18  9 18 18  0  9 18  0  9 18 18 18 18  0  0  0  9  9  0  9  9 18  9  0  0  9  9  0 18  0  9  0 18  9  9  9  9 18 18 18 18  0  0  9  9  0 18
 0  0  9  0 18  9 18  9 18  0  9  9  0 18  0  0  9  9 18 18 18 18  9  0  0  9 18  0  0  9 18  9  9 18  0 18  0  0  9  9  0 18  0 18 18 18 18 18  9  0 18  0 18  0 18  9  9  9  0  0  9
 0  0  0  9 18 18  0 18 18 18  9  0 18  0 18  9  9  0  9  9  9 18  9  0  9 18  0  0  9 18 18 18  9  9  9 18 18 18  0  0  0  9  9  0  0 18 18  0  9 18 18  0  0 18  9  9  0  0  9 18 18

generates a code of length 61 over Z27 who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+108x^119+194x^120+356x^123+8x^126+54x^128+2x^129+4x^132+2x^156

The gray image is a code over GF(3) with n=549, k=6 and d=357.
This code was found by Heurico 1.16 in 0.248 seconds.