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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+114x^190+252x^191+136x^192+336x^193+378x^194+666x^195+450x^196+570x^197+1042x^198+666x^199+432x^200+736x^201+168x^202+120x^203+70x^204+108x^205+54x^206+8x^207+48x^208+78x^209+8x^210+12x^211+18x^212+30x^214+6x^215+2x^216+30x^218+2x^219+6x^220+6x^221+6x^223+2x^267

The gray image is a linear code over GF(3) with n=891, k=8 and d=570.
This code was found by Heurico 1.16 in 0.948 seconds.