The generator matrix

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

generates a code of length 89 over Z3[X]/(X^3) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+132x^169+570x^170+578x^171+612x^172+1674x^173+1130x^174+786x^175+1980x^176+1416x^177+894x^178+2610x^179+1812x^180+840x^181+2178x^182+948x^183+438x^184+570x^185+160x^186+96x^187+78x^188+12x^189+60x^190+54x^191+4x^192+18x^193+6x^194+8x^195+12x^196+2x^201+2x^210+2x^219

The gray image is a linear code over GF(3) with n=801, k=9 and d=507.
This code was found by Heurico 1.16 in 22.9 seconds.