The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+312x^136+432x^137+418x^138+540x^139+900x^140+384x^141+732x^142+864x^143+44x^144+588x^145+648x^146+320x^147+222x^148+72x^149+42x^150+24x^151+12x^157+4x^168+2x^177

The gray image is a code over GF(3) with n=639, k=8 and d=408.
This code was found by Heurico 1.16 in 0.308 seconds.