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

generates a code of length 57 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+582x^105+1214x^108+324x^110+1290x^111+1944x^112+1296x^113+5154x^114+3888x^115+1296x^116+1190x^117+660x^120+522x^123+212x^126+102x^129+6x^132+2x^162

The gray image is a code over GF(3) with n=513, k=9 and d=315.
This code was found by Heurico 1.16 in 11.9 seconds.