The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 1 1 1 X X^2+X 1 1 X^2+X 1 1 0 X^2 X^2 1 X^2+X 1 0 1 X^2+X 1 X^2 1 1 1 1 X X^2 1 1 X^2+X 1 X^2+X 1 0 1 1 0 X^2 1 X^2+X X^2 X 1 1 1 1 X^2 X^2 1 0 1 0 0 0 0 X+1 X X^2 X+1 1 X^2 X^2+1 X+1 X^2+X+1 1 1 X^2+1 X^2 1 X X X^2+X 1 0 X 1 X^2+X+1 1 1 X^2+X X^2 1 X+1 X X^2+X X^2+X 0 X^2+X X^2 X^2+X+1 X^2+X X+1 1 0 1 1 X^2 1 X^2+X X^2+X+1 1 X 1 0 X^2 1 X^2+X+1 X 1 X^2 0 0 1 0 0 0 1 X+1 1 X^2+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X 1 X^2+X+1 X^2+X+1 0 X^2+1 X+1 1 1 X^2 1 0 X 0 1 X X 1 X^2+1 X 1 X+1 X^2+X 1 X X 1 X^2 X^2+1 X^2+1 X^2 X^2+X X^2 X^2+X X^2+X X^2+X X^2+X+1 X^2+X+1 1 1 X^2+1 X^2+X+1 X^2+1 X+1 1 X^2+X+1 0 0 0 0 1 0 1 X^2 X^2+1 1 X+1 X^2+1 X^2+X X^2 X^2+1 X^2+X+1 X^2+X+1 0 X^2+X X^2+X+1 X^2 X+1 X X^2+X+1 X^2+X X^2 X X^2+1 X^2 X^2+X+1 X^2+X+1 1 X^2 X+1 X+1 X^2 X^2+X+1 X 1 1 X^2+X+1 X^2+X X X^2 X^2 X^2+X+1 0 X+1 X^2+X X^2+1 1 0 0 X+1 1 X X+1 X^2+1 X^2 X^2 X 0 0 0 0 0 1 1 X^2+1 X X+1 X^2+1 X^2+X X^2+1 0 X^2 X^2+X+1 1 X^2 X 0 X^2+X+1 X^2+X+1 X^2 0 X+1 X^2+1 X^2+X+1 1 1 X X^2 X^2+X+1 0 X X^2 1 1 X^2+X+1 X^2+X+1 X^2+X+1 X+1 X^2+X+1 1 X X^2+X+1 X^2+X X X^2+X+1 X X+1 X^2+1 0 X^2 X+1 X+1 0 X^2 X X+1 X^2 X+1 X^2 0 0 0 0 0 X 0 X X X^2+X X X^2 0 X X^2+X X^2+X 0 X^2 X^2+X 0 X^2+X X^2 X^2+X 0 X^2 0 X^2+X X^2 X X X^2+X X X^2 X^2 X X^2 X X^2 0 X^2 X^2+X X X X X^2 X 0 X^2+X X^2+X 0 X X^2+X X X^2 X 0 X^2+X X^2 0 0 X generates a code of length 61 over Z2[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+97x^50+462x^51+1083x^52+1818x^53+3186x^54+4470x^55+5958x^56+7438x^57+10211x^58+11074x^59+12893x^60+12658x^61+13589x^62+11478x^63+10532x^64+7826x^65+6124x^66+4014x^67+2648x^68+1648x^69+925x^70+474x^71+287x^72+96x^73+44x^74+26x^75+4x^76+4x^77+2x^79+2x^80 The gray image is a linear code over GF(2) with n=244, k=17 and d=100. This code was found by Heurico 1.13 in 184 seconds.