The generator matrix

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

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+1386x^132+1440x^133+2502x^134+5752x^135+5436x^136+7254x^137+11646x^138+11664x^139+11826x^140+19134x^141+16722x^142+16092x^143+18902x^144+14148x^145+10134x^146+10752x^147+5292x^148+2970x^149+2424x^150+684x^151+252x^152+458x^153+18x^154+168x^156+60x^159+24x^162+6x^165

The gray image is a linear code over GF(3) with n=639, k=11 and d=396.
This code was found by Heurico 1.16 in 286 seconds.