The generator matrix

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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+708x^110+892x^111+2298x^112+2850x^113+3584x^114+5184x^115+5298x^116+5238x^117+6408x^118+6510x^119+4562x^120+5442x^121+3942x^122+2408x^123+1848x^124+996x^125+506x^126+180x^127+54x^128+48x^129+18x^130+48x^131+14x^132+6x^133+6x^134

The gray image is a code over GF(3) with n=531, k=10 and d=330.
This code was found by Heurico 1.16 in 6.87 seconds.