The generator matrix

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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+366x^186+606x^187+1620x^188+3298x^189+4380x^190+5298x^191+7972x^192+8460x^193+8976x^194+14062x^195+11916x^196+12474x^197+16026x^198+13380x^199+12078x^200+15390x^201+10746x^202+8538x^203+8238x^204+4782x^205+3210x^206+2382x^207+1260x^208+654x^209+388x^210+234x^211+84x^212+110x^213+54x^214+30x^215+34x^216+42x^217+6x^218+16x^219+18x^220+6x^221+12x^223

The gray image is a linear code over GF(3) with n=891, k=11 and d=558.
This code was found by Heurico 1.16 in 110 seconds.