The generator matrix

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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+450x^135+654x^136+732x^137+846x^138+750x^139+462x^140+506x^141+378x^142+462x^143+556x^144+426x^145+114x^146+126x^147+60x^148+6x^149+6x^152+2x^153+12x^156+8x^159+2x^162+2x^168

The gray image is a code over GF(3) with n=630, k=8 and d=405.
This code was found by Heurico 1.16 in 0.243 seconds.