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  1  1  1  1  1 15
 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  8  3 17 15  0  1
 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  3  6  7 20 19  0

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

Homogenous weight enumerator: w(x)=1x^0+954x^136+1446x^137+1292x^138+2700x^139+1998x^140+1172x^141+1932x^142+1518x^143+888x^144+1992x^145+1146x^146+528x^147+918x^148+618x^149+238x^150+234x^151+72x^152+8x^153+12x^154+6x^155+2x^156+6x^157+2x^165

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 1.08 seconds.