The generator matrix

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

generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+416x^174+360x^175+990x^176+1610x^177+1098x^178+1980x^179+1884x^180+990x^181+1602x^182+1860x^183+918x^184+1656x^185+1404x^186+738x^187+882x^188+546x^189+198x^190+180x^191+178x^192+72x^193+28x^195+22x^198+30x^201+18x^204+20x^207+2x^216

The gray image is a linear code over GF(3) with n=819, k=9 and d=522.
This code was found by Heurico 1.16 in 2.11 seconds.