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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+372x^185+182x^186+732x^188+294x^189+54x^190+798x^191+910x^192+324x^193+2088x^194+2324x^195+3564x^196+2982x^197+2240x^198+432x^199+684x^200+270x^201+306x^203+128x^204+330x^206+100x^207+240x^209+30x^210+114x^212+48x^213+78x^215+18x^216+24x^218+14x^219+2x^279

The gray image is a linear code over GF(3) with n=882, k=9 and d=555.
This code was found by Heurico 1.16 in 3.77 seconds.