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 12 18  1  0  1 12  1  1 12  1  1  1  1  3  1  1  1  3
 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  1 12 12 23  1  5 13  1 17  6  9  5  1 11 26 12 12
 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 18 10  3  1 18 26 16 20 16  4  4 13  9  5 14 21 12 24
 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 15 24  3  0  9 21  3  3 24 21 18 15 15  0  6 24  6 15

generates a code of length 57 over Z27 who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+528x^104+1072x^105+2364x^106+3930x^107+5856x^108+6960x^109+9072x^110+12808x^111+16422x^112+16710x^113+18298x^114+20142x^115+17928x^116+16154x^117+11754x^118+8064x^119+4584x^120+2370x^121+942x^122+634x^123+174x^124+120x^125+90x^126+60x^127+54x^128+38x^129+18x^130

The gray image is a code over GF(3) with n=513, k=11 and d=312.
This code was found by Heurico 1.16 in 55.2 seconds.