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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+852x^107+1792x^108+4098x^109+7146x^110+11022x^111+14814x^112+21492x^113+28870x^114+36792x^115+46878x^116+52342x^117+56034x^118+59094x^119+54854x^120+46566x^121+37116x^122+24432x^123+13578x^124+7488x^125+3732x^126+1518x^127+576x^128+58x^129+72x^130+126x^131+32x^132+30x^133+24x^134+12x^135

The gray image is a code over GF(3) with n=531, k=12 and d=321.
This code was found by Heurico 1.16 in 464 seconds.