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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+108x^113+198x^114+348x^117+16x^120+54x^122+2x^135+2x^147

The gray image is a code over GF(3) with n=522, k=6 and d=339.
This code was found by Heurico 1.16 in 0.195 seconds.