The generator matrix

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

generates a code of length 56 over Z27 who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+516x^106+216x^107+308x^108+948x^109+462x^110+246x^111+1146x^112+252x^113+336x^114+1254x^115+294x^116+150x^117+330x^118+60x^119+6x^120+6x^121+4x^123+12x^124+12x^125+2x^150

The gray image is a code over GF(3) with n=504, k=8 and d=318.
This code was found by Heurico 1.16 in 3.78 seconds.