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

generates a code of length 57 over Z27 who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+486x^103+1500x^104+4578x^105+5886x^106+11262x^107+15150x^108+20202x^109+29694x^110+37648x^111+42168x^112+55674x^113+61004x^114+54942x^115+59958x^116+47194x^117+33030x^118+24312x^119+14990x^120+6750x^121+3054x^122+1288x^123+252x^124+132x^125+94x^126+48x^127+66x^128+54x^129+6x^130+6x^132+12x^133

The gray image is a code over GF(3) with n=513, k=12 and d=309.
This code was found by Heurico 1.16 in 486 seconds.