The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X X 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 X 1 0 1 0 1 X X 1 X 1 1 1 0 X 1 1 0 0 1 1 1 1 1 X 1 0 1 1 1 1 1 1 0 0 1 1 X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 X 1 1 1 0 X 0 1 1 1 1 0 0 X+1 X 1 1 X+1 0 0 X 1 1 0 1 1 0 X 1 1 1 X X X 1 0 X 1 1 X X 0 1 X 0 X+1 1 X X 1 0 X X 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 X+1 X X+1 1 X+1 1 0 X+1 X 1 0 X+1 0 1 0 0 1 1 X X 0 X X 1 1 0 1 X+1 1 1 1 X X X+1 1 X+1 1 0 1 X+1 X+1 X+1 0 1 X+1 X 1 1 X+1 0 0 X+1 X X+1 X+1 X+1 1 1 X X+1 X+1 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 X 0 X X 0 X 0 0 0 0 0 X 0 X X 0 X 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 X 0 0 X X X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 X 0 X X X X 0 X X 0 X X 0 X X X 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 X 0 X X X X 0 X X X 0 X 0 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 X X 0 X 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X X X 0 X X 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 0 X X X 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 0 X X 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X X X X 0 X X 0 X X 0 0 0 0 X X 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X X 0 0 0 X X X X X 0 X 0 0 0 0 X 0 X X 0 0 0 0 0 0 X 0 X X X X X 0 X X X 0 0 0 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X 0 X X 0 X X 0 X X 0 0 X 0 0 X 0 0 X 0 X X 0 X 0 X X 0 0 0 X X 0 0 0 0 0 X 0 X X X X 0 X X X 0 0 0 X 0 0 X X 0 X X X X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+59x^66+72x^67+165x^68+190x^69+257x^70+288x^71+346x^72+386x^73+393x^74+382x^75+420x^76+438x^77+463x^78+524x^79+435x^80+492x^81+404x^82+460x^83+392x^84+354x^85+297x^86+256x^87+193x^88+162x^89+125x^90+62x^91+56x^92+26x^93+34x^94+4x^95+32x^96+11x^98+7x^100+4x^102+1x^104+1x^110 The gray image is a linear code over GF(2) with n=158, k=13 and d=66. This code was found by Heurico 1.16 in 13.9 seconds.