The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  1  0 24  1 21  1  1  1  1  0  1 21  1 24  0  1  1  1  1  1  1  9  1  1  1  1  1 21  1  1  1 12  1  1 21  1  1  3
 0  1  7 26 21  4 20  1 19 24  1 23 26  0 16 20 19 23  4  1  1 24  1 21 26 20  0  1 21  1 23  1  1 16 23 19 24 16 19  1 24  0 10  5  6  1 16  4  8  1 24  7  1  6  1 24
 0  0  9  0  0  0 18  9 18  9  9  9  9 18  9  9  0  0 18  0 18 18 18 18  9 18  9  0 18 18 18  0 18  0 18  9  0  0  9 18 18  0  9  9  0  0  0  9 18  9 18 18 18  0  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9 18  0  9 18  9 18  9 18 18  0  9  9 18 18 18  9 18  9  9 18 18 18  9  9  9  9 18 18 18  9  9 18 18 18  9 18  9  9 18 18 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  0  0  9  9  9  9  0 18 18  0 18  9  9  0  9  9 18  9  9  0 18  9 18  9 18 18  0  0  0  9 18  0  9 18  0  9 18  9  0  9 18 18

generates a code of length 56 over Z27 who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+132x^103+210x^104+206x^105+924x^106+714x^107+490x^108+2442x^109+1344x^110+1028x^111+3774x^112+1794x^113+1008x^114+3264x^115+1026x^116+390x^117+546x^118+204x^119+8x^120+54x^121+30x^122+8x^123+42x^124+24x^125+4x^126+4x^129+2x^132+4x^135+4x^138+2x^144

The gray image is a code over GF(3) with n=504, k=9 and d=309.
This code was found by Heurico 1.16 in 1.03 seconds.