The generator matrix

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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+126x^184+176x^186+366x^187+214x^189+654x^190+672x^192+1410x^193+1146x^195+3180x^196+2070x^198+4026x^199+1422x^201+2316x^202+656x^204+360x^205+80x^207+306x^208+12x^210+234x^211+28x^213+90x^214+20x^216+36x^217+18x^220+30x^222+12x^225+16x^231+2x^234+2x^243+2x^261

The gray image is a linear code over GF(3) with n=891, k=9 and d=552.
This code was found by Heurico 1.16 in 6.94 seconds.