The generator matrix

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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+734x^135+684x^136+990x^137+1598x^138+1260x^139+1566x^140+2266x^141+1854x^142+1944x^143+1868x^144+1476x^145+1062x^146+1142x^147+522x^148+270x^149+224x^150+36x^151+86x^153+24x^156+48x^159+18x^162+8x^165+2x^171

The gray image is a linear code over GF(3) with n=639, k=9 and d=405.
This code was found by Heurico 1.16 in 99.2 seconds.