The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1  1  1  0 24  1  1  1 21  1  1  1  1  1  1  1  1  1  1  1  1 24 21 12  1  3  3  1  0  1  1  9  1 21  1  1  1 21  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0 16  4  1 19 21 20  1 23 24  1 16 26 19 23  0  1  1 21 24  4  1  5 26 16  6 20  0 21 23  8  9 16 25  1  1  1 20  1  1 19  1 24 18  1 25  1 15  0  8  1  9
 0  0  9  0  0  0 18  9 18  9  9  9  9 18  0  0  0  9  9 18  0 18  9  0 18 18 18  9  0 18  9  9  0  0  0 18  9 18  0  9 18  9  0 18  0  0 18  9  9 18  9  0  9 18  0  9  0  9  0 18  9 18 18  0  9
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9 18  9  0 18  9  0  0  0 18  9 18  9  9 18  9  0  9  9 18  9  0  9  0 18  9  0  0 18  9 18 18 18  0  0  9  9  0  9  9 18 18 18 18  0  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  0 18  0 18  0  9  9  9  0 18  9  9 18 18  9  9  0  0 18  9  9  0 18  0  0  9  0 18  0  9 18 18  9  9 18  0  0  9 18 18 18

generates a code of length 65 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+180x^121+126x^122+446x^123+894x^124+846x^125+918x^126+1368x^127+1998x^128+1308x^129+2208x^130+2736x^131+1566x^132+1884x^133+1530x^134+722x^135+546x^136+54x^137+94x^138+132x^139+30x^141+66x^142+2x^144+12x^145+10x^150+2x^153+2x^162+2x^165

The gray image is a code over GF(3) with n=585, k=9 and d=363.
This code was found by Heurico 1.16 in 6.28 seconds.