The generator matrix

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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+510x^105+1674x^106+4428x^107+6570x^108+10608x^109+17148x^110+19886x^111+26904x^112+39498x^113+43878x^114+51594x^115+63360x^116+56134x^117+53214x^118+50658x^119+34376x^120+23208x^121+15750x^122+6372x^123+3222x^124+1548x^125+544x^126+114x^127+54x^128+98x^129+36x^130+12x^131+18x^132+12x^133+12x^135

The gray image is a code over GF(3) with n=522, k=12 and d=315.
This code was found by Heurico 1.16 in 455 seconds.