The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  0  1  1 21  1  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  0  1  3  1 21
 0  1  7 26 21  4 20  1 24 19 23  1 21  4  1 26  0  1 24 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  6 16 13  8  1  4 24 14  1
 0  0  9  0 18 18  9  0  0  9 18 18  9  0 18 18  9  9 18 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 18  0 18  0 18  9  0  9  0
 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  9  0  0  0  9  0  9  9 18

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

Homogenous weight enumerator: w(x)=1x^0+228x^134+326x^135+720x^136+600x^137+638x^138+624x^139+648x^140+552x^141+414x^142+564x^143+402x^144+468x^145+216x^146+96x^147+42x^148+4x^150+12x^155+4x^165+2x^177

The gray image is a code over GF(3) with n=630, k=8 and d=402.
This code was found by Heurico 1.16 in 7.1 seconds.