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 1 1 1 X^2+X 1 2X^2+X 2X^2+2X 1 1 1 1 1 1 1 0 1 1 X^2+2X 1 X^2+2X 1 2X^2+X X X^2 1 1 2X^2 X^2+X 1 1 1 2X^2+X 2X^2+X 2X^2+X 1 1 1 1 1 1 1 1 1 X X^2+2X X 2X 1 X^2+2X 1 X^2 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 2X^2+2X+2 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 X^2+2X+2 2X^2 2X+2 1 0 1 1 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 X^2+X+1 1 2X+2 1 X^2+X 1 1 1 2X^2+X+2 X^2+2X 1 1 2X^2+2X+2 X+2 X 1 1 1 1 2X^2+2 2X^2 2X^2+2X+1 2X^2+2 X^2+1 2X+2 X^2+2X+2 2X^2+1 2X^2+2X 1 2X^2+X 1 2X^2+2X+2 1 2X^2+2 1 2X+1 2X^2 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 2X^2+X 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^2 2X^2+X 2X^2 X 2X X^2+X X^2+X 2X^2+X X^2+X 2X^2+X 2X X^2 2X X^2+2X 2X^2+2X 2X^2 2X^2 X^2+X X 0 X 2X 2X^2+X 2X^2+2X 0 2X^2 X^2 X^2 2X^2+2X 0 X^2+2X 2X^2 2X^2+2X X^2+X 2X 2X X^2+2X X^2+X X^2+2X X^2 X^2 0 X 0 2X^2 X 2X X X^2 X^2 2X 2X^2+2X 2X^2+X 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 X 2X^2 2X 2X^2 2X^2+2X 0 2X 2X^2 X^2 X^2+X X^2 2X^2+2X 2X 2X X^2 2X^2 0 2X^2+2X X^2+2X 2X^2+X 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 X^2+2X 0 0 2X^2+X X^2+2X X^2+X 2X^2 2X^2+X 0 2X^2+X 2X^2 2X^2+X 2X^2 X^2 X^2 X 2X 2X X^2+2X 2X^2+X 2X^2+X X^2+2X X^2+2X 0 2X^2+X 0 0 X 2X^2+2X 2X X^2+X 2X^2+2X generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+318x^187+624x^188+608x^189+1770x^190+2256x^191+1840x^192+3222x^193+3990x^194+3334x^195+4518x^196+4584x^197+3694x^198+5604x^199+5316x^200+3572x^201+4116x^202+3756x^203+1642x^204+1548x^205+978x^206+498x^207+390x^208+150x^209+76x^210+210x^211+90x^212+28x^213+54x^214+60x^215+12x^216+84x^217+36x^218+30x^220+30x^221+6x^223+2x^225+2x^228 The gray image is a linear code over GF(3) with n=891, k=10 and d=561. This code was found by Heurico 1.16 in 84.7 seconds.