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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+558x^112+1098x^113+1992x^114+3156x^115+4266x^116+4172x^117+5256x^118+6984x^119+5048x^120+5346x^121+6570x^122+4208x^123+3780x^124+2970x^125+1558x^126+1158x^127+468x^128+226x^129+102x^130+46x^132+66x^133+2x^135+12x^136+6x^139

The gray image is a code over GF(3) with n=540, k=10 and d=336.
This code was found by Heurico 1.16 in 6.76 seconds.