The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 0 1 1 1 0 X X X X 1 1 1 X 1 1 1 1 1 X 0 X 1 1 1 X 1 1 0 0 1 X 1 0 X 1 1 X 1 X 1 X 0 1 1 1 1 0 X 0 1 0 X 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 1 1 1 X+1 X+1 1 1 X+1 1 1 1 X+1 0 X 1 0 X+1 X 0 X+1 1 X 1 X X 0 X X X+1 0 1 1 1 X+1 X 0 X+1 X+1 0 0 1 0 0 X 1 0 X 1 0 X 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 X+1 1 1 X 1 X+1 X X+1 X+1 1 0 X+1 0 X 1 1 0 X X 1 X+1 0 1 1 1 0 0 X X X 0 X X 1 X+1 X+1 X 0 1 0 1 X+1 X X+1 1 1 X X+1 0 0 X+1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 X X X 0 X X X 0 0 X X 1 X+1 X+1 X+1 1 1 1 1 1 1 1 1 1 1 1 X X+1 X+1 1 X+1 1 0 X+1 X+1 1 X X 1 X+1 1 1 0 1 X X 1 X 0 0 0 0 0 1 0 0 0 1 1 1 1 0 X X X X+1 1 1 1 1 X+1 1 0 X+1 1 0 0 0 X+1 X+1 1 X+1 0 X+1 X 1 1 1 X 0 X X+1 X+1 1 X+1 X+1 X 1 0 1 X+1 0 1 X 1 0 0 X 1 X+1 1 1 1 0 1 1 X 1 X 0 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 X+1 0 0 1 1 0 X 0 1 0 X 1 1 X+1 X+1 X 1 0 0 1 0 X X X+1 0 1 X X+1 1 X 1 X+1 X X+1 X X+1 X+1 0 X 1 0 0 X+1 X X+1 X 1 0 X+1 1 X+1 X 0 0 0 X 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X 1 1 0 0 X+1 0 X+1 X+1 X X+1 1 X+1 X 0 0 1 0 1 X+1 X X 0 1 X X X+1 0 1 0 X+1 0 0 1 1 X+1 0 0 0 X X X 1 1 0 X X X+1 0 X+1 0 1 1 0 1 X X+1 X 0 0 0 0 0 0 0 0 X X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X X X 0 0 0 X 0 0 0 0 X X 0 0 X 0 0 0 X X 0 0 X X 0 X X X 0 0 X X 0 X X 0 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+81x^56+110x^57+291x^58+360x^59+555x^60+674x^61+787x^62+936x^63+1201x^64+1462x^65+1448x^66+1622x^67+1946x^68+1862x^69+1897x^70+2146x^71+1921x^72+2054x^73+1797x^74+1796x^75+1642x^76+1310x^77+1151x^78+1004x^79+808x^80+586x^81+441x^82+286x^83+258x^84+122x^85+107x^86+42x^87+28x^88+12x^89+14x^90+7x^92+2x^94+1x^114 The gray image is a linear code over GF(2) with n=142, k=15 and d=56. This code was found by Heurico 1.11 in 59.7 seconds.