The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^110+338x^111+546x^112+954x^113+2312x^114+2742x^115+2868x^116+4370x^117+4482x^118+5628x^119+7738x^120+6672x^121+5478x^122+6062x^123+3966x^124+1848x^125+1498x^126+384x^127+222x^128+178x^129+108x^130+180x^131+68x^132+42x^133+90x^134+24x^135+12x^136+18x^137+8x^138+12x^140+2x^144

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 8.67 seconds.