The generator matrix

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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+702x^132+162x^133+648x^134+2088x^135+1836x^136+2304x^137+3806x^138+3672x^139+4500x^140+6288x^141+5454x^142+5562x^143+6726x^144+4968x^145+3744x^146+2974x^147+1350x^148+738x^149+870x^150+54x^151+308x^153+184x^156+74x^159+28x^162+2x^165+2x^168+2x^171+2x^177

The gray image is a linear code over GF(3) with n=639, k=10 and d=396.
This code was found by Heurico 1.16 in 11.5 seconds.