The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 0 X 0 X 1 1 X 1 X X X 1 1 X X 1 0 1 1 1 1 1 1 X X 0 0 1 1 0 1 1 X 1 X 1 X 1 1 1 1 1 1 1 X 1 1 0 X 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X 1 X X+1 1 1 1 X 0 0 X 1 1 X+1 1 0 X+1 1 X 1 0 1 1 1 1 X X X 1 1 X 0 1 X+1 0 1 1 X+1 X+1 X X+1 1 X X+1 1 X 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X+1 X+1 0 1 1 1 X X+1 X 0 X X+1 1 1 X X X 1 1 0 0 X 0 X+1 1 X+1 X 0 0 X+1 0 X+1 1 X X 1 X+1 1 0 0 X+1 1 X+1 X X X 0 0 X+1 1 0 X+1 1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 0 X 0 X+1 X+1 1 X X+1 0 X 1 X+1 0 X X X+1 X X+1 0 X+1 X X 0 X+1 1 X+1 0 X X 1 X X+1 0 X X 0 1 X+1 X X+1 1 X 1 X 1 1 0 X 1 X+1 0 0 1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X X+1 0 X 1 X 1 0 X+1 X+1 X+1 1 X+1 X X+1 1 X 0 0 X+1 X+1 1 1 0 X+1 X 1 1 0 X X+1 1 1 X 0 X 1 X X+1 X 0 X+1 1 1 1 X+1 X+1 1 0 1 0 X X 1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X X+1 1 0 0 X+1 X 1 X+1 0 0 0 1 X 0 1 0 X X+1 X+1 0 X+1 1 X X 1 X+1 X 1 0 X+1 0 0 0 X X+1 X+1 1 1 X 0 X+1 X 1 1 1 1 X 1 1 X 1 1 1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 X 0 X X X X X 0 0 0 0 X 0 X 0 X 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X X 0 0 X X X X 0 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X X 0 0 X 0 0 X 0 0 X X X X 0 0 0 X X X X X 0 0 generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+85x^56+162x^57+290x^58+338x^59+435x^60+520x^61+630x^62+652x^63+782x^64+916x^65+890x^66+974x^67+974x^68+1050x^69+984x^70+998x^71+927x^72+912x^73+803x^74+708x^75+631x^76+506x^77+394x^78+262x^79+225x^80+146x^81+88x^82+36x^83+32x^84+12x^85+15x^86+4x^88+1x^90+1x^118 The gray image is a linear code over GF(2) with n=138, k=14 and d=56. This code was found by Heurico 1.16 in 78.1 seconds.