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

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

Homogenous weight enumerator: w(x)=1x^0+168x^112+276x^113+152x^114+462x^115+774x^116+286x^117+1260x^118+804x^119+1398x^120+3108x^121+2178x^122+2706x^123+2808x^124+1014x^125+440x^126+414x^127+378x^128+70x^129+270x^130+246x^131+40x^132+162x^133+138x^134+72x^136+24x^137+8x^138+18x^139+6x^142+2x^162

The gray image is a code over GF(3) with n=549, k=9 and d=336.
This code was found by Heurico 1.16 in 2.08 seconds.