The generator matrix

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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+510x^112+1512x^113+1556x^114+1746x^115+2364x^116+1736x^117+1716x^118+2268x^119+1388x^120+1302x^121+1248x^122+682x^123+708x^124+690x^125+210x^126+6x^127+12x^128+4x^129+6x^131+12x^132+6x^133

The gray image is a code over GF(3) with n=531, k=9 and d=336.
This code was found by Heurico 1.16 in 0.774 seconds.