The generator matrix

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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+876x^116+1300x^117+1962x^118+4878x^119+5594x^120+6840x^121+10992x^122+12102x^123+13554x^124+18852x^125+16654x^126+18504x^127+20004x^128+14726x^129+11088x^130+9252x^131+4968x^132+1944x^133+1818x^134+642x^135+54x^136+258x^137+92x^138+96x^140+48x^141+36x^143+6x^144+6x^146

The gray image is a code over GF(3) with n=567, k=11 and d=348.
This code was found by Heurico 1.16 in 62.1 seconds.