The generator matrix

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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+516x^105+744x^106+522x^107+1204x^108+2394x^109+1026x^110+1500x^111+3510x^112+1566x^113+1718x^114+2514x^115+774x^116+936x^117+414x^118+136x^120+66x^121+30x^123+54x^124+28x^126+18x^127+2x^129+6x^130+4x^132

The gray image is a code over GF(3) with n=504, k=9 and d=315.
This code was found by Heurico 1.16 in 1.01 seconds.