The generator matrix

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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+162x^112+354x^113+764x^114+1302x^115+1710x^116+3192x^117+2940x^118+3492x^119+6082x^120+5304x^121+5784x^122+8346x^123+4818x^124+4758x^125+4836x^126+2274x^127+1122x^128+656x^129+420x^130+174x^131+106x^132+162x^133+66x^134+60x^135+96x^136+30x^137+12x^138+18x^139+6x^140+2x^144

The gray image is a code over GF(3) with n=549, k=10 and d=336.
This code was found by Heurico 1.16 in 12.9 seconds.