The generator matrix

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

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+402x^185+408x^186+648x^187+1998x^188+1670x^189+1998x^190+3690x^191+2490x^192+3564x^193+5574x^194+3546x^195+4644x^196+6948x^197+3924x^198+4194x^199+5094x^200+2240x^201+2052x^202+1698x^203+684x^204+378x^205+444x^206+180x^207+18x^208+168x^209+54x^210+108x^212+54x^213+78x^215+30x^216+30x^218+18x^219+12x^221+6x^222+4x^228

The gray image is a linear code over GF(3) with n=882, k=10 and d=555.
This code was found by Heurico 1.16 in 24.7 seconds.