The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1 15 12  1  1  3  1  1  1  1  1  9  1  1  1  1  3  1  1 12  1  0  1  1  1  1  1  1 21  1 18  1 18  1 12  1  1  1  1  1  6  1  1  3  1  1  1  6  1
 0  1  0  0 18  1 19  1 18  0 26 23 22 24  1 12  2  1 12 10  7  8 14  1  2  6 13 23  1 16 14  1 21  1 12 13 16 26 15 18  1 22  1 11  1 15  1 20 23  6 19 12  1  9  3  6 18  0 10  1  3
 0  0  1  0 16 25 14  7  4 23 12 13 11  1  5 20  8 18  0 22  6 10  6 13 24 12 15 11  8 18 17  0  4 23 23 26 13  7  1  3  7 16 26 23 16  8  8  2 13 18 14 19 23 20  5  1 13 17  5 20  3
 0  0  0  1 14  9  5  5 22 24  1  6 16 23  2  5 13  4 20  7 17  2  2  1  0  7 12  3 24  1  8 23  9 25 25 21 20  7 22 25 18  9 14 10 22 15  0 26 22  8  6 15 11 15  9 12  5  4  4  7  3

generates a code of length 61 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+930x^111+1866x^112+4782x^113+7412x^114+10842x^115+16794x^116+21250x^117+27984x^118+37626x^119+43804x^120+51312x^121+58602x^122+56700x^123+53832x^124+48096x^125+35210x^126+23970x^127+16074x^128+8000x^129+3510x^130+1644x^131+742x^132+156x^133+72x^134+122x^135+12x^136+12x^137+60x^138+12x^139+6x^140+6x^142

The gray image is a code over GF(3) with n=549, k=12 and d=333.
This code was found by Heurico 1.16 in 481 seconds.