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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6 18 12 21  0  9 12  0 21 24  6  6 15  9 12 24 21 24 18  9 12 12 12  3  6 15  9  0 12  3  9 15 18 18  6  6 18 15 12 21  9 12 24
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9  9  0 18 18  9  0 18  9  9  0 18 18 18  9  0 18 18 18  9  0 18  0  0  9  9  0  0  9 18  0 18  0  9 18  0  9  0  9 18  9 18  0
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18  0 18  0  0 18  9 18  0  9  0  0  9  9 18  0 18 18  0  9 18  9  9  0  9  0  9  9 18  0 18  0 18  9  9  9  0 18  0  9  9 18  9
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0  9  0 18 18  9  0 18  9  0 18  9  9 18  9  9  9  0  9  9 18 18 18  9  9 18  9 18 18  9 18 18  9  0  0  0 18  9 18 18 18  0  9

generates a code of length 58 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+194x^108+438x^111+950x^114+2916x^116+1544x^117+186x^120+92x^123+136x^126+96x^129+2x^132+4x^135+2x^171

The gray image is a code over GF(3) with n=522, k=8 and d=324.
This code was found by Heurico 1.16 in 0.302 seconds.