The generator matrix

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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+336x^184+744x^185+1750x^186+3372x^187+4302x^188+4938x^189+7722x^190+8676x^191+8664x^192+12486x^193+13584x^194+12320x^195+15126x^196+15870x^197+12094x^198+14574x^199+11622x^200+8032x^201+7698x^202+4944x^203+3146x^204+2286x^205+1206x^206+674x^207+366x^208+198x^209+74x^210+84x^211+60x^212+38x^213+54x^214+24x^215+14x^216+36x^217+6x^218+6x^219+6x^220+8x^222+6x^223

The gray image is a linear code over GF(3) with n=882, k=11 and d=552.
This code was found by Heurico 1.16 in 109 seconds.