The generator matrix

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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+340x^189+432x^190+2086x^192+1026x^193+2594x^195+1254x^196+3432x^198+1368x^199+3512x^201+1122x^202+1556x^204+438x^205+242x^207+126x^208+52x^210+48x^211+20x^213+18x^214+2x^216+2x^222+2x^225+2x^231+2x^234+2x^237+2x^249+2x^261

The gray image is a linear code over GF(3) with n=891, k=9 and d=567.
This code was found by Heurico 1.16 in 2.38 seconds.