The generator matrix

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

generates a code of length 57 over Z27 who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+456x^106+1260x^107+1580x^108+2820x^109+5094x^110+3892x^111+5442x^112+6498x^113+4758x^114+5802x^115+7080x^116+4176x^117+3990x^118+3270x^119+1270x^120+840x^121+558x^122+102x^123+60x^124+30x^125+12x^126+30x^127+6x^128+4x^129+18x^131

The gray image is a code over GF(3) with n=513, k=10 and d=318.
This code was found by Heurico 1.16 in 6.51 seconds.