The generator matrix

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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+312x^110+380x^111+342x^112+1704x^113+1458x^114+1782x^115+4242x^116+3878x^117+4518x^118+6858x^119+6364x^120+5868x^121+7686x^122+4948x^123+3294x^124+3174x^125+866x^126+234x^127+546x^128+118x^129+180x^131+144x^132+54x^134+52x^135+24x^137+14x^138+6x^140+2x^150

The gray image is a code over GF(3) with n=540, k=10 and d=330.
This code was found by Heurico 1.16 in 58.1 seconds.