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

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+620x^189+1566x^190+1962x^191+3010x^192+3984x^193+3156x^194+4780x^195+5238x^196+4062x^197+4830x^198+4716x^199+2970x^200+3574x^201+4224x^202+2544x^203+2720x^204+1914x^205+1050x^206+888x^207+534x^208+270x^209+176x^210+144x^211+18x^212+22x^213+12x^214+12x^216+6x^217+14x^219+18x^220+6x^221+8x^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 12.3 seconds.