The generator matrix

 1  0  0  1  1  1  1  1  1  1 21 15  1  1  1  1  0  1  1  1  1  1 24 24  1 12  1  1  1  1  1 15  1  6  1 18  1  1  1  9  1  1  9 18  1  1  9  1  1  0  1  1  1 12  1 21
 0  1  0  0  9 16 16  1  2 23  1  1 23 18 10  8  1 21  5 10  7  8  0  1 12  1 16  4 19  2  5 24 15  1  6  1  6 10 22  1 15 17  1  1  6 18  1 26  5  1 22  8  5  1  8  1
 0  0  1  1 17 17 15  1 23  3 17 19  4 15 16  2 19 26  4 17  3  9  1 24 25 20  5  7 24  9 19  1 14 20 18 22  7 24 13  3  8 11  0 23  9  8  2  4  2 16 16  5  9 16  5  2
 0  0  0 24 18  9  0  6  3 12  9  9  0 15 21 18 12 21  6 24  6  9  3 12  9  3 12 18  3 12 21 24 24 24  3 12 21  9 12 18  9 21  6 15 18 12  3 15 24  0  9 21 15 24 15 15

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

Homogenous weight enumerator: w(x)=1x^0+636x^102+714x^103+2076x^104+3780x^105+5010x^106+7032x^107+11578x^108+11082x^109+13776x^110+19452x^111+18978x^112+20064x^113+21082x^114+14622x^115+10782x^116+8896x^117+3564x^118+1926x^119+1200x^120+378x^121+144x^122+140x^123+60x^124+78x^125+42x^126+24x^127+12x^128+12x^129+6x^132

The gray image is a code over GF(3) with n=504, k=11 and d=306.
This code was found by Heurico 1.16 in 54 seconds.