The generator matrix

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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+444x^104+1156x^105+1566x^106+3174x^107+4546x^108+4104x^109+5244x^110+6524x^111+5346x^112+5946x^113+6244x^114+4752x^115+4140x^116+2960x^117+1242x^118+834x^119+638x^120+120x^122+34x^123+12x^125+8x^126+6x^128+2x^129+6x^131

The gray image is a code over GF(3) with n=504, k=10 and d=312.
This code was found by Heurico 1.16 in 6.23 seconds.