The generator matrix

 1  0  0  1  1  1  1  1  1 2X^2  1  1 2X^2+X  1  1  1  X 2X^2+X  1  1 2X^2+2X  1 X^2+2X  1  1  1 2X^2  1  0 2X^2+X 2X^2+X X^2+X  1  1  1  1  1  1 2X^2+2X  1 2X^2+X 2X  1  1  1  1  1  1 X^2+X  1  0  1  1  1 2X  1 X^2  1  1 X^2+2X  1  1  1  1  1  1  1  1  1  1
 0  1  0 2X^2  1 2X^2+1 2X^2+2  X  2  1 2X^2+2X+1 2X^2+2X+2  1 X^2 2X^2+X+2 X^2+2X+1  1 2X X^2+2X+2 2X X^2+X X+2  1 2X+2  0 2X+1  1 X^2+2X  1  1  0  1 2X^2+1 2X 2X^2+X X^2+2 2X+1 2X^2+2X+2  1 X+2  1 X^2 2X^2+2X X^2+X X^2+2X+1  1 2X+1  2  1 X^2+X 2X^2+X 2X^2+2X+1 X^2+X+1  X 2X 2X^2+2X  1 X^2+1 2X^2+X+2  1 2X+2 X^2+2 2X^2+X+1 2X+1 X^2+X+1 X+2 2X^2+X+2 X^2+X+1 X^2  X
 0  0  1 2X^2+2X+1 2X+1 2X^2 X^2+X+2 X+2 X^2+2X 2X^2+1 2X^2+2X+2 2X^2+1 2X^2+2 X^2+X 2X^2+X+2 X^2 X^2+1  1 2X^2+2X 2X+2  1 2X^2+2X+1 X^2+X 2X^2+2 2X X^2+2 X^2+2X+2  1 X^2+X 2X+1  1 X^2+2X+2 2X 2X^2+X X^2+2X+1 2X^2+2 X^2+2X+1 X+1  0 X^2+2X+2 2X^2+X  1 X^2+X+1  0 X+1 2X+2 X^2+1 X^2 X+2 2X^2+X  1 X^2+X X+2 2X^2+2X  1 X^2+2 X^2+X+1 X^2+X+2  2 X^2+X+2 2X^2+X X^2+X 2X^2+2X+2 2X 2X^2+X+1 2X^2+2X 2X^2+X X^2+1 X+1 2X^2+2

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+954x^134+1122x^135+2034x^136+2454x^137+1588x^138+1644x^139+1692x^140+1098x^141+1404x^142+1590x^143+1192x^144+984x^145+978x^146+410x^147+240x^148+264x^149+12x^150+12x^151+6x^152+2x^153+2x^162

The gray image is a linear code over GF(3) with n=630, k=9 and d=402.
This code was found by Heurico 1.16 in 1.19 seconds.