The generator matrix

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

generates a code of length 96 over Z3[X]/(X^3) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+252x^184+684x^185+998x^186+1254x^187+1548x^188+1670x^189+1362x^190+2046x^191+1514x^192+1248x^193+1452x^194+1394x^195+1074x^196+1026x^197+728x^198+498x^199+420x^200+212x^201+72x^202+60x^203+28x^204+18x^205+12x^206+4x^207+30x^208+18x^209+6x^211+18x^212+4x^213+12x^214+6x^215+6x^220+6x^222+2x^228

The gray image is a linear code over GF(3) with n=864, k=9 and d=552.
This code was found by Heurico 1.16 in 4.17 seconds.