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

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

Homogenous weight enumerator: w(x)=1x^0+90x^111+78x^112+294x^113+280x^114+180x^115+666x^116+518x^117+564x^118+1194x^119+1302x^120+1572x^121+6066x^122+1906x^123+1638x^124+1212x^125+542x^126+168x^127+354x^128+216x^129+78x^130+258x^131+148x^132+72x^133+120x^134+64x^135+24x^136+18x^137+30x^138+24x^140+4x^141+2x^168

The gray image is a code over GF(3) with n=549, k=9 and d=333.
This code was found by Heurico 1.16 in 2.02 seconds.