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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+186x^187+336x^188+128x^189+522x^190+540x^191+328x^192+960x^193+1116x^194+1064x^195+1776x^196+2178x^197+1978x^198+1980x^199+2028x^200+1340x^201+1146x^202+534x^203+150x^204+252x^205+180x^206+38x^207+210x^208+114x^209+34x^210+108x^211+120x^212+22x^213+72x^214+90x^215+6x^216+42x^217+36x^218+6x^219+36x^220+12x^221+6x^222+6x^224+2x^264

The gray image is a linear code over GF(3) with n=891, k=9 and d=561.
This code was found by Heurico 1.16 in 4.19 seconds.