The generator matrix

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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+516x^101+1338x^102+4020x^103+5868x^104+10734x^105+15756x^106+20232x^107+29992x^108+37290x^109+43122x^110+55828x^111+57960x^112+58752x^113+58566x^114+48264x^115+33834x^116+24406x^117+14250x^118+5880x^119+2942x^120+1188x^121+324x^122+102x^123+78x^124+96x^125+36x^126+30x^127+18x^128+6x^129+12x^130

The gray image is a code over GF(3) with n=504, k=12 and d=303.
This code was found by Heurico 1.16 in 436 seconds.