The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X^2  1 2X^2+X  1  1  1  1 X^2+2X  1  1  X  1  X  1  0  1  1  1  1  1  X 2X^2+X  1  1 X^2+2X  1  1 2X^2+2X  1  1 X^2  1 2X^2+X  1 X^2+2X  1  0  1  1 2X^2+2X  1  1 2X^2+X 2X^2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2X^2+2X  1 2X  1 X^2+2X  1  0  1  1 2X^2  1 X^2+X  1 2X^2 2X^2+2X X^2+X  1  1  1  1  X  1  1 2X^2+X  1 2X^2+X  1 X^2+2X  1  0
 0  1  0  0 X^2 2X^2+2X+1 2X+1 X+2 2X^2+X+1 X^2+X+2  1  2  1 2X^2+X 2X^2  1 2X^2+2  1 X+1 2X^2+1 2X^2+2X  X  1 X^2+2X+2  1 2X^2+X+2  2 2X^2+2X X^2+2X+1 X^2+2  1  1 2X X+1 2X^2 2X^2+X 2X^2+X+1  X 2X^2+2X+2 2X+1  1 2X^2+X+2  1 X^2+X  1 2X^2+2X X^2+2X X^2+2X 2X^2  1 2X+1  2  0  1 X+1 2X^2+X 2X^2+X+2 X^2+X+2 X^2+2X+2 2X^2+2X+2 X^2+2 2X 2X^2+2X X+1 2X^2+2X 2X^2+1  1 X^2+2X+2 X^2+2X+1  1 X^2+2X+1  1 2X^2+X+2  1 X^2+2  1 X^2+X X^2+X+2  1 X^2+X+1  1  1  1  1  1 2X^2 2X^2+1  0 2X^2+1 2X^2+X 2X^2 2X^2+X  1  X  X X^2+X  1 2X^2+2X+1  1
 0  0  1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 X^2+X 2X^2+X X^2+X+2 2X^2+1 X+1 2X^2+2X+2 2X^2 2X^2+2X+2 2X^2+1  X 2X^2+2 2X^2+X+2 2X^2+2X  1 X^2+1 2X^2+X X^2+2X+2 X+1 2X^2+X+1 2X^2+2X X+1 X^2+1 2X^2+X+2  0 X^2+2X+1 X+2 2X+2  1 2X^2+X 2X^2+1  1 X^2+X 2X^2 2X^2+2 2X^2+1 2X^2+X+1 2X^2+2X+1 2X^2+2X X^2+2X  1 X^2+2X+1 2X^2+X+2 X+1 2X 2X+2  1 X+2 2X^2+2X 2X X^2  2 X^2+2X+1 X+1 X^2+2 2X^2+2X+2 X^2+X X^2+X+2  2 2X^2+X+2 2X+1  1 2X 2X^2+X X^2+X+1 X+2 2X^2+X  X 2X^2+2X+2 2X+1 2X^2+2  2 2X^2+X+2 2X^2+X+1 2X^2+2 X^2+2X+2 2X^2+2  2 X+2 2X^2+X 2X^2+2 X^2+2X+1 2X^2+X  1 X^2+2 2X+2 2X^2+X 2X  1 2X^2+X+1 2X^2+X+2 X^2+X+2 2X+1
 0  0  0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2  0 2X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 2X^2  0 2X^2 X^2  0  0 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2  0 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2  0 2X^2  0  0 2X^2  0  0 X^2 X^2 X^2 2X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2  0  0 X^2 2X^2 2X^2 X^2 X^2  0 X^2  0 X^2 2X^2  0  0 X^2  0 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+778x^189+1206x^190+2148x^191+3340x^192+3138x^193+3444x^194+5454x^195+4578x^196+4074x^197+5342x^198+4308x^199+3192x^200+4538x^201+2844x^202+2616x^203+2910x^204+1836x^205+1212x^206+840x^207+456x^208+294x^209+292x^210+84x^211+18x^212+18x^213+12x^214+6x^215+20x^216+6x^217+26x^219+6x^221+12x^222

The gray image is a linear code over GF(3) with n=891, k=10 and d=567.
This code was found by Heurico 1.16 in 12.7 seconds.