The generator matrix

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

generates a code of length 58 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+272x^111+594x^112+750x^113+1058x^114+666x^115+564x^116+532x^117+462x^118+546x^119+542x^120+354x^121+72x^122+82x^123+12x^124+14x^126+6x^128+18x^130+6x^132+6x^134+2x^135+2x^138

The gray image is a code over GF(3) with n=522, k=8 and d=333.
This code was found by Heurico 1.16 in 0.16 seconds.