The generator matrix

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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+570x^106+1038x^107+2660x^108+3612x^109+5118x^110+8258x^111+8412x^112+11664x^113+16820x^114+16158x^115+19014x^116+22344x^117+16812x^118+15510x^119+13532x^120+7032x^121+4116x^122+2534x^123+1098x^124+342x^125+132x^126+144x^127+54x^128+44x^129+72x^130+6x^131+14x^132+30x^133+6x^136

The gray image is a code over GF(3) with n=522, k=11 and d=318.
This code was found by Heurico 1.16 in 56.4 seconds.