The generator matrix

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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+786x^187+1116x^188+1924x^189+3672x^190+3342x^191+3586x^192+4758x^193+4344x^194+4560x^195+5256x^196+4308x^197+3612x^198+4242x^199+3264x^200+2686x^201+2604x^202+1482x^203+1080x^204+1236x^205+522x^206+278x^207+234x^208+48x^209+2x^210+18x^211+24x^212+6x^213+6x^214+12x^215+2x^216+6x^217+6x^218+2x^219+18x^220+6x^223

The gray image is a linear code over GF(3) with n=882, k=10 and d=561.
This code was found by Heurico 1.16 in 12 seconds.