The generator matrix

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

generates a code of length 71 over Z27 who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+888x^134+1564x^135+2124x^136+3540x^137+4446x^138+3888x^139+5898x^140+5762x^141+4194x^142+5418x^143+5074x^144+3816x^145+4338x^146+3390x^147+1728x^148+1476x^149+842x^150+288x^151+222x^152+40x^153+60x^155+12x^156+24x^158+2x^159+6x^161+8x^162

The gray image is a code over GF(3) with n=639, k=10 and d=402.
This code was found by Heurico 1.16 in 199 seconds.