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

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+204x^185+224x^186+192x^187+540x^188+390x^189+420x^190+774x^191+704x^192+1026x^193+2178x^194+1592x^195+2664x^196+3522x^197+1546x^198+1152x^199+846x^200+202x^201+114x^202+216x^203+128x^204+102x^205+186x^206+124x^207+78x^208+126x^209+142x^210+66x^211+78x^212+18x^213+12x^214+36x^215+18x^216+6x^217+36x^218+12x^219+6x^221+2x^273

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 3.46 seconds.