The generator matrix

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

generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+376x^171+72x^172+378x^173+2232x^174+1188x^175+2160x^176+4098x^177+2160x^178+3708x^179+6228x^180+3330x^181+4608x^182+7320x^183+3996x^184+4428x^185+5310x^186+1998x^187+1908x^188+1786x^189+378x^190+306x^191+486x^192+312x^195+136x^198+96x^201+36x^204+14x^207

The gray image is a linear code over GF(3) with n=819, k=10 and d=513.
This code was found by Heurico 1.16 in 13.9 seconds.