The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+456x^112+54x^113+370x^114+1272x^115+162x^116+294x^117+1494x^118+162x^119+356x^120+1110x^121+108x^122+164x^123+510x^124+20x^126+18x^127+4x^129+4x^132+2x^168

The gray image is a code over GF(3) with n=531, k=8 and d=336.
This code was found by Heurico 1.16 in 0.531 seconds.