The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^106+312x^107+516x^108+1554x^109+1944x^110+2044x^111+3840x^112+3438x^113+5120x^114+6924x^115+5700x^116+6390x^117+7530x^118+4596x^119+3640x^120+2670x^121+1122x^122+476x^123+408x^124+192x^125+30x^126+198x^127+120x^128+4x^129+42x^130+66x^131+2x^132+6x^133+6x^134+2x^135+6x^136

The gray image is a code over GF(3) with n=522, k=10 and d=318.
This code was found by Heurico 1.16 in 8.31 seconds.