The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+312x^104+376x^105+432x^106+1302x^107+1820x^108+1800x^109+3630x^110+4602x^111+3762x^112+7422x^113+7160x^114+5184x^115+7572x^116+5458x^117+3006x^118+2286x^119+1422x^120+396x^121+516x^122+174x^123+198x^125+88x^126+78x^128+24x^129+12x^131+8x^132+4x^135+4x^141

The gray image is a code over GF(3) with n=513, k=10 and d=312.
This code was found by Heurico 1.16 in 48.6 seconds.