The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1  1 2X  1  1 2X^2+X  1  1  0  1  1  1  1  1 2X  1  1  1 X^2+X  1  1 X^2+2X  1  1  1  1  0  1  1  1 X^2  1  1  1  1 X^2  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X 2X^2+X 2X^2  1
 0  1 2X^2+2X+1  2 2X^2+X X+1 2X^2+X+2  1 2X 2X^2+1 2X+2  1 2X^2+2X+1 2X^2+X  1  2  0  1 2X X+1 2X^2+X+2 2X^2+1 2X+2  1 X^2 X^2+2X+1 X^2+2  1 X^2+X X^2+X+1  1 2X^2+X+2 X^2+2X+2 2X 2X^2+1  1 X^2+1 X^2+X+2 X^2+2X  1 2X^2+1 X^2+1 2X 2X^2+X+2  1 X^2+2X X^2+X+2  1  0 X^2 2X^2+X X^2+2X  0 2X^2 X^2 2X^2+X X^2+X 2X^2+2X+1 X^2+2X+1 X+1 X^2+1 X^2+2X X+1 X^2+X+1 X^2+2 2X^2+2X+1 2X^2+2X  1  X  0
 0  0 2X^2  0 2X^2 X^2 X^2  0  0 X^2 2X^2 2X^2  0 X^2 2X^2 2X^2 X^2 X^2 2X^2  0 X^2 2X^2  0 X^2 2X^2 X^2 X^2 X^2  0 2X^2  0  0 X^2  0  0 X^2 2X^2 2X^2 X^2  0  0 X^2 2X^2  0 2X^2 X^2 2X^2 2X^2  0 X^2 X^2  0 X^2 2X^2 2X^2 2X^2  0 2X^2  0  0 2X^2 2X^2 X^2 X^2 X^2 X^2  0 2X^2 2X^2  0
 0  0  0 X^2 X^2 2X^2 X^2 X^2 X^2  0 2X^2  0  0 X^2 X^2 X^2  0 X^2  0 2X^2 2X^2 2X^2 2X^2  0  0  0 X^2 X^2 X^2 2X^2  0 2X^2 2X^2  0 2X^2  0  0 X^2 X^2 X^2  0 2X^2 X^2 X^2  0  0 2X^2 X^2 X^2 2X^2  0 2X^2 X^2 2X^2 X^2  0  0 2X^2 X^2  0 X^2 2X^2  0 X^2  0 2X^2 2X^2 2X^2 2X^2 X^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+294x^134+456x^135+468x^136+648x^137+806x^138+360x^139+642x^140+754x^141+324x^142+516x^143+488x^144+288x^145+294x^146+160x^147+18x^148+24x^149+2x^150+12x^155+4x^165+2x^183

The gray image is a linear code over GF(3) with n=630, k=8 and d=402.
This code was found by Heurico 1.16 in 1.89 seconds.