The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  3  1  0
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 24 12  9  3 21  0 15 15 18 15  0 24  6  3  3 21  9 15 15  6  0  9  3 12  9  9  3 18 12 12 12 24  9 24 12 21  6 24 21 21  3
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15 18 24  9  3 24 21 18  6 12  6 18 18  0  3 18 18 15  0  9  6  6 15  0 15  6 24 21 18 15  0  3 18 15  3  6 15  0 12  0 15 24 18
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  9 18  9  9 18  9  0  0  0  0 18  9  0 18  0  9  9 18  9 18  9  0 18  9  0  9  9 18  0 18  0  9  0  0  9 18  0  0  9  0 18 18
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  9 18  0 18 18  0 18  9  9  9  9 18 18 18 18  9 18 18  0  0  0 18  0 18  0 18  9  9  0 18  0 18  0  9  9  0  9  0 18  0  9  9

generates a code of length 57 over Z27 who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+210x^104+262x^105+648x^107+450x^108+1272x^110+1014x^111+1458x^112+2718x^113+3134x^114+2916x^115+2736x^116+1150x^117+510x^119+256x^120+366x^122+168x^123+198x^125+80x^126+72x^128+42x^129+18x^131+2x^135+2x^156

The gray image is a code over GF(3) with n=513, k=9 and d=312.
This code was found by Heurico 1.16 in 1.86 seconds.