The generator matrix 1 0 1 1 1 1 1 1 2X^2+X 2X 1 1 1 2X^2 1 1 1 1 2X^2+X 1 1 0 2X 1 1 1 X 1 1 1 1 2X^2+X 1 1 0 1 1 1 2X^2 1 1 1 1 2X 1 1 1 X^2+X 1 1 1 0 1 2X^2+2X 1 1 1 1 1 2X^2+X X^2+2X X X 1 1 1 1 1 2X^2+2X 1 1 2X^2 1 1 X 1 2X^2+X 1 1 1 X^2 2X^2+2X 1 X^2+X 2X 1 0 1 1 1 0 1 1 1 X^2+2X 0 1 1 0 1 1 2 2X^2+X 2X 2X^2+X+2 2X+2 1 1 2X^2+2X+1 X+1 2 1 2X^2 2X+1 2X^2+X+2 2X+2 1 X 1 1 1 2X^2+X+1 2X^2+2X 2X^2+2 1 0 X+2 2X 2X^2+1 1 2X^2+X+1 2X^2+X+2 1 2X^2+X X+1 2X+2 1 2X^2+2X 2X^2+2X+2 2X+1 2X^2+2X+1 1 X^2+2 X^2+X+2 2X^2+X 1 X^2+2X X^2+1 0 1 X^2+X 1 X+2 X^2+1 2X^2 X^2+X+1 2X^2+X+2 1 1 1 1 2X+2 X^2+X+2 2X^2+2X+2 2X^2+X X^2+2 1 2X^2+1 2X^2+X+2 1 2X^2 2X^2+2X+1 1 2X^2 1 2X^2+X+2 2X^2+2X+1 X+2 1 1 X^2+2X+2 1 1 X^2+2X+1 X 2X^2+X 2X^2 X^2+X+1 X X^2+2X 2X 2X^2+1 1 1 X^2+2X 1 0 0 2X 0 0 X^2 2X^2 0 X^2 X^2 2X^2+2X 2X X^2+2X 2X^2+X 2X^2+X X 2X^2+2X X^2+2X 2X^2+2X 2X^2+X X 2X^2+2X 2X 2X^2+X X X^2+X X^2+X 2X^2+2X 2X^2+X 2X X^2+2X 2X^2+2X X^2+X X^2+2X 2X^2 2X^2 X^2 2X^2 X X X X^2+X 2X^2 2X^2 0 X^2+X 2X 2X^2 2X^2+2X 2X^2 2X^2 0 2X 2X^2+2X X^2+X 2X^2 X 0 2X^2+2X 2X^2+2X 2X^2 2X^2 X X^2+2X X^2 2X^2+X 2X^2+2X X X^2+2X 0 X 2X^2+X 2X^2+2X X^2+2X X^2+2X X^2+X X 2X X^2+2X 0 2X^2+X 2X^2+X 2X X^2+2X X X^2+X X^2+X 2X^2+2X 2X^2+2X X^2+2X 2X X^2+X X^2+X 2X 2X^2+X 2X^2+X 2X^2 X 0 0 0 X^2 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 0 X^2 X^2 0 2X^2 2X^2 0 0 0 0 2X^2 X^2 X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 2X^2 X^2 X^2 2X^2 0 0 X^2 0 2X^2 X^2 0 X^2 X^2 0 2X^2 X^2 0 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 2X^2 X^2 X^2 0 2X^2 X^2 2X^2 0 X^2 X^2 0 2X^2 0 0 0 0 0 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 0 2X^2 X^2 0 X^2 2X^2 X^2 0 0 X^2 0 0 2X^2 0 2X^2 0 0 2X^2 0 X^2 0 X^2 2X^2 2X^2 0 X^2 0 X^2 2X^2 X^2 2X^2 X^2 0 2X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 0 0 X^2 X^2 2X^2 X^2 X^2 2X^2 0 0 0 X^2 0 2X^2 2X^2 0 X^2 0 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 0 0 0 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 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+360x^185+678x^186+414x^187+1968x^188+2052x^189+1836x^190+3276x^191+3602x^192+2538x^193+4992x^194+5012x^195+4518x^196+5760x^197+4926x^198+3348x^199+4434x^200+3466x^201+1674x^202+1686x^203+1030x^204+252x^205+462x^206+188x^207+156x^209+82x^210+144x^212+56x^213+66x^215+22x^216+18x^218+12x^219+8x^222+6x^224+2x^225+2x^240+2x^246 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 68.5 seconds.