The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  1  1  1  1  0  3  1  1  3  1  1  1  1  1
 0  3 24  0 21 24  0 21 24  9 21 24  6  0 21 12  6  9 24  0 21 12  0 24  6  3  0  6 21 18 15  3 24 18  3 15  0 18 24 15 18  0 21 24  6 18  6  9 24  6  0  3  3 21  6 12 24  3  3 18  6  0
 0  0  9  0  0  0  0 18  9  0  9 18 18  0  0  9  0  0  9 18 18  9  9 18  9  9  9  9  9  9  9  0 18  9 18  0  9 18  9  0  9 18  9  9  0  0  0 18 18  0  9  0 18  9 18  9  9 18  0  0  0  0
 0  0  0  9  0  0  0  0  0 18  0  9 18  9  9  9  9 18  9 18  9  9  0 18 18  0  9 18  9  9  0 18  0  0  0  9  9  9  0 18  9 18 18  0  9 18  0 18  9  0 18 18  9  0  9 18 18  9  0 18  0 18
 0  0  0  0 18  0  9 18  9  9  0  9 18  0 18  0 18  0 18 18  0  0 18  9  0  0 18 18 18 18 18 18  9  9 18  0  9  0  0  9  0 18  9  9 18  0 18  9 18  0  0  9  9  9  0  0 18 18  0 18  9  9
 0  0  0  0  0  9  9  0 18  9  0  0  9  9 18 18  9  9  0 18  0  0 18  9 18  9  9  9  9  0  0 18  0  9 18  9  0  9  9 18  0  9  9 18 18  0  0 18  0 18 18  9 18  9  9  9  0 18  9  0 18 18

generates a code of length 62 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+110x^111+30x^112+54x^113+174x^114+192x^115+192x^116+340x^117+228x^118+186x^119+1562x^120+186x^121+1674x^122+4662x^123+156x^124+3180x^125+4656x^126+282x^127+276x^128+446x^129+204x^130+216x^131+248x^132+84x^133+30x^134+80x^135+84x^136+24x^137+26x^138+12x^139+44x^141+18x^144+14x^147+2x^150+6x^153+2x^156+2x^171

The gray image is a code over GF(3) with n=558, k=9 and d=333.
This code was found by Heurico 1.16 in 2.25 seconds.