The generator matrix

 1  0  0  1  1  1  1  1  1  1 24  1 21  1  0  6  1  1  1  1  1  1  9 24  1  1  6  6  1  9  1  1  1  1  9  1  1  1  1  1  1  9  1  3  1 21  1 21  3  1  1  1  1  1 15  6 12  1  1  6 21  1  1  1  1  1
 0  1  0  0  9 16 16 14  1 14  1 17  1 18  1  1  2 17  4 10 20 21  1 12  3 10  1 12 25  1 19 16 12  3  1 18  2 14 17 11 13  6 18  1 19  1  6  1  1  7  8 24  3 26  1 18  1 21 21 18  1 26 23  5 18  0
 0  0  1  1 17 17 15 16  7 21 13 20 17  0  1 12 18 14  8 19 16 14 11  1 19 18 21  1  7 25  2 15  2 19 20  6 24  7  2  4 18  1 16 22 14 24  3 21 26 22 12  7 12  0 17  1  1 14  8  1 14 21  6 20 15  0
 0  0  0 24 18  9  0  9  0 18  0 18  9 15 12 21  3 21  6  6 21 24  6 12  0 12  6 15 12 15  3 24 21  3 21 21 24  6  6  9  9  9 24 15  6 21 12  0  6 21 21 18  9 24 15 24  3 12 24  6  3  0 18  9  0 15

generates a code of length 66 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+228x^121+426x^122+1634x^123+2790x^124+3624x^125+6774x^126+7848x^127+9516x^128+12460x^129+15276x^130+15114x^131+18276x^132+19302x^133+16086x^134+15924x^135+12630x^136+7830x^137+5834x^138+2556x^139+1188x^140+946x^141+420x^142+108x^143+62x^144+114x^145+42x^146+48x^147+48x^148+12x^149+6x^150+24x^151

The gray image is a code over GF(3) with n=594, k=11 and d=363.
This code was found by Heurico 1.16 in 65 seconds.