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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+996x^134+1336x^135+1794x^136+1884x^137+2000x^138+1410x^139+2058x^140+1580x^141+1320x^142+1356x^143+1244x^144+654x^145+966x^146+478x^147+324x^148+180x^149+68x^150+12x^152+12x^153+6x^154+2x^159+2x^162

The gray image is a code over GF(3) with n=630, k=9 and d=402.
This code was found by Heurico 1.16 in 0.989 seconds.