The generator matrix 1 0 0 0 0 1 1 1 1 X^2 1 X^2 1 1 0 X^2+X 1 X 1 1 1 X^2+X X^2 X 1 1 1 1 X^2+X X^2 1 X 0 1 0 1 X 0 X 1 1 X 1 0 1 0 0 0 0 X 1 X^2+1 1 X^2+X+1 1 1 X 1 X X^2 X^2 X+1 X^2+X X^2+1 X^2+X 1 X^2 X^2+X X X^2 X^2+1 1 0 X 1 X^2+X X+1 X X^2+X+1 1 X^2+X 1 X^2+X X+1 1 0 0 0 1 0 0 0 X+1 X X^2+1 X^2+X+1 X 1 X^2+X+1 X^2+1 X 1 X^2+1 X X 0 X+1 1 X^2+1 1 1 X X+1 X^2+X+1 X^2+1 0 X X^2+X X 0 1 X^2 X 1 X^2+1 0 X+1 1 0 0 0 0 1 0 1 1 X+1 X^2 1 0 X X^2+1 X^2 X^2+1 X+1 X^2 1 X^2+1 X^2+X+1 X^2+X X^2+X 0 X^2+1 X^2+1 X^2+X X^2 X^2+1 X^2+X+1 X^2+X X^2+X+1 X+1 1 X^2 X^2+1 X+1 X X^2 X^2 X^2+X X^2+X X^2+X 0 0 0 0 0 1 1 X^2 0 X X X+1 1 X+1 X^2+X+1 X^2+1 X+1 X X^2+1 X+1 0 X^2+X+1 1 X X^2 1 X^2+1 X+1 X^2+X X+1 1 X^2+X+1 X+1 X^2+X X^2+X X^2+X X+1 X 0 X+1 X+1 X^2+X X^2 0 0 0 0 0 0 X 0 0 0 0 0 0 X^2 X^2 X^2+X X^2+X X^2+X X X^2+X X^2+X X 0 X X^2 X^2 X^2+X X^2+X X X X^2 0 0 X^2 X^2+X 0 X^2 X X 0 X^2 X^2+X 0 0 generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+76x^33+398x^34+1078x^35+2036x^36+3396x^37+5199x^38+7388x^39+10258x^40+12862x^41+14680x^42+15538x^43+14962x^44+13400x^45+10648x^46+7658x^47+5151x^48+3042x^49+1692x^50+872x^51+418x^52+178x^53+81x^54+42x^55+6x^56+4x^57+6x^58+2x^61 The gray image is a linear code over GF(2) with n=172, k=17 and d=66. This code was found by Heurico 1.13 in 116 seconds.