The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1  1 21  1  1  1  1  1 18  1  3  1  1  1  1  1  0  1  1 21  1  1  1  1  1  1  0  1  1  1 12  1  1  1  1  9  6  1  1  1  0
 0  1  1 26 21 20  1 16 24  1 23  4  0  1 17  1 14  1  4  3 20 15 25  1 23  1 21 22 23 24  1  1 18  4  1 22 22 23  9  2  3  1  2 24  5  1 26 23 24  8  1  1  8 21 11  1
 0  0 24  0  0 18 18 18  9  0  0 18  6 15 21 21 12  6  6 21 15 12 12 12  6 12 15  3 15  9 24  6 21  9  6 21  6 24 21 18 15  9  3 15 21  6  3 18 15  3 18 12 24  9  0  0
 0  0  0  9  0  0  0 18  0  0 18  9  0  0 18 18  9 18  9  0  9  9  0  0 18  9 18 18  9  9  9  0  9 18 18  0  0 18 18  0  0 18  9 18 18  9  9  0  9  0 18  0  9  9 18  9
 0  0  0  0 18 18  9  9  9 18  9  0 18  0  9 18  0  9  0  9 18  9  9  9  0 18  9  0  9  9  9  9  0 18 18  0  9  9  0  0  0  9  9 18  0  0 18  9  0  0 18  0 18 18  0  9

generates a code of length 56 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+404x^102+108x^103+288x^104+1794x^105+1152x^106+1962x^107+4372x^108+2772x^109+4878x^110+8848x^111+4554x^112+6678x^113+9014x^114+3708x^115+3546x^116+2944x^117+792x^118+144x^119+628x^120+36x^121+278x^123+120x^126+20x^129+2x^132+4x^135+2x^144

The gray image is a code over GF(3) with n=504, k=10 and d=306.
This code was found by Heurico 1.16 in 8.53 seconds.