The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 18  3  1  1  1  1  1  1  1  1  1  0  3  1  1  3  3  1  3  1 18
 0  3  0  0 24 21  3 15 24  9 18 21 21 15  9 24 15 21  9 15  9  0 12 21 24  6 12 12  0  0 21  3 24  6 12  6 21  3 15  6 18 24 18 12 24 12 12  6 18 12  3  0 18 24 18  0 21  9  9  9 12  3 12 18 18 24  9  0 15  9  3
 0  0  3 24  9  6  3 21 15 15  0 15  9 21 21 24  9 15 21  9 24  0  3 12  3 24  0  9  6  6  9  0 15 15 12 15  3  3 24 21  3 18 21  6 21  6 24  3 21 15  3 21  6  0 15  9  0  9 18  0  9  6  6 24  6 15  3 12 12 21  3
 0  0  0  9  0  0  0  0  0  0 18 18  9 18  9  9 18  9 18  9 18  9  9 18  9 18 18  9 18  9  0 18  9 18 18  0  0  9 18 18  0  0 18 18  0  0  9  9  9  9  9  0  9  9  0 18  0  9  0  9 18 18  9  9  0  0  9 18  9 18  0

generates a code of length 71 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+416x^135+54x^136+72x^137+748x^138+324x^139+432x^140+1050x^141+648x^142+864x^143+774x^144+432x^145+90x^146+290x^147+130x^150+130x^153+78x^156+26x^159+2x^189

The gray image is a code over GF(3) with n=639, k=8 and d=405.
This code was found by Heurico 1.16 in 0.879 seconds.