The generator matrix 1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 X 0 1 1 X 1 0 0 1 1 1 1 X X X X X 1 1 0 0 1 1 1 0 0 1 1 1 1 1 X 0 1 1 X X 1 0 1 1 X 1 X 0 X X 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X X X 0 0 X X 1 X+1 1 1 1 X+1 1 1 1 1 1 X+1 X+1 1 0 1 1 X+1 1 1 1 1 1 X 1 0 1 1 1 X+1 X+1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X 0 0 X X 0 X X X 1 1 1 1 1 X+1 1 1 1 1 X+1 X 0 X+1 0 1 1 X+1 1 1 0 X 0 X+1 1 0 1 X 1 0 X 0 1 1 X X+1 X 1 1 X+1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 X+1 1 X X 0 X 1 X 1 0 1 X 1 0 0 X 0 X+1 1 X X+1 0 X+1 X X+1 0 1 X+1 X X+1 1 0 X 0 1 1 X X+1 X 0 1 X 0 0 X+1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 X X 1 X+1 X+1 1 1 0 1 X X+1 X 1 X X+1 0 X 1 X 1 0 0 X X+1 X+1 1 1 X X+1 X 1 1 0 0 1 1 1 X+1 1 0 X+1 X+1 X X+1 1 1 1 X X+1 0 0 1 X+1 0 X+1 X X+1 1 0 0 0 0 0 1 0 1 0 X+1 1 1 0 X+1 0 X+1 1 X 1 X X+1 0 X 1 0 1 X 0 X+1 X+1 X+1 1 X 1 1 1 X 0 0 0 X+1 0 X+1 X X 1 X+1 0 X X 0 X 0 X X 0 0 X 0 1 1 1 1 X+1 0 1 1 1 X+1 X+1 0 0 0 0 0 0 1 1 X+1 X 1 X 1 1 0 X+1 0 1 0 0 0 X+1 0 1 X+1 X 1 X+1 X+1 0 0 X+1 X 0 X+1 1 X+1 X+1 0 X 1 1 X 1 1 X+1 X+1 0 0 X X X+1 0 X 1 X+1 0 X+1 X X+1 X+1 0 X+1 X+1 X+1 0 0 X+1 X+1 1 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 0 X X X X X 0 X X X 0 0 0 0 X X X X 0 X 0 X X X X X X 0 0 X X X X X X 0 0 X X 0 X X X 0 0 0 0 0 X 0 0 X X 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+145x^56+170x^57+392x^58+456x^59+676x^60+830x^61+997x^62+1204x^63+1330x^64+1578x^65+1734x^66+1824x^67+1853x^68+2078x^69+1979x^70+2136x^71+2019x^72+1930x^73+1754x^74+1664x^75+1420x^76+1154x^77+983x^78+716x^79+577x^80+394x^81+299x^82+184x^83+153x^84+50x^85+49x^86+8x^87+16x^88+6x^89+4x^90+2x^92+1x^98+2x^105 The gray image is a linear code over GF(2) with n=140, k=15 and d=56. This code was found by Heurico 1.11 in 58.9 seconds.