The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^121+276x^122+390x^123+1050x^124+1326x^125+1742x^126+3330x^127+2412x^128+3714x^129+6534x^130+3792x^131+6084x^132+8664x^133+3828x^134+4884x^135+5160x^136+2274x^137+1032x^138+1230x^139+420x^140+194x^141+78x^142+174x^143+90x^144+60x^145+48x^146+60x^147+6x^148+30x^149+26x^150+4x^153+2x^159+2x^162

The gray image is a code over GF(3) with n=594, k=10 and d=363.
This code was found by Heurico 1.16 in 10.4 seconds.