The generator matrix

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

generates a code of length 71 over Z27 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+924x^136+1458x^137+1514x^138+2634x^139+1902x^140+1116x^141+1758x^142+1536x^143+1094x^144+1680x^145+1332x^146+684x^147+1026x^148+516x^149+202x^150+222x^151+54x^152+12x^154+6x^155+4x^156+2x^159+6x^160

The gray image is a code over GF(3) with n=639, k=9 and d=408.
This code was found by Heurico 1.16 in 1 seconds.