The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 0 X 1 1 1 X 1 1 1 X 1 0 1 1 X 1 X 1 1 1 1 1 X 1 X 0 1 X 1 0 X X 0 X 1 1 1 X X 1 1 X 0 X 0 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X 1 X 0 X X+1 1 X+1 X X+1 X 1 0 X X 1 X 1 X 1 0 0 1 1 X+1 X 1 0 1 1 0 1 1 0 0 X+1 X+1 1 1 X X+1 X X 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 0 X+1 1 0 X+1 0 X 0 X+1 X 1 X+1 1 1 0 1 X+1 0 X+1 X+1 1 X+1 0 X+1 X 1 X 0 X+1 0 1 X X X 0 0 1 X+1 0 1 X X X 1 X+1 0 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X X 1 1 1 X X 1 X X 1 X+1 X+1 X+1 1 X 1 0 X X+1 1 1 X X+1 X 1 0 X+1 1 X+1 1 1 0 1 1 1 X 1 1 1 0 0 1 1 0 X+1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 0 X 0 0 0 X X 0 X X X X X X X X X X X X 0 X 0 X X 0 0 X X 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X 0 X 0 X X X X X X X X 0 0 X 0 0 0 X X 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 X X X X X X 0 0 X X X X X X 0 X 0 0 0 0 X 0 X 0 X X 0 X X X X X X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 X X X 0 X 0 0 0 X X 0 X X X 0 X X X 0 X 0 0 X X X 0 X X X 0 0 0 0 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 X X X 0 0 0 X X X 0 X 0 0 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+49x^62+74x^63+137x^64+202x^65+245x^66+272x^67+383x^68+362x^69+400x^70+430x^71+432x^72+464x^73+428x^74+494x^75+429x^76+478x^77+454x^78+462x^79+399x^80+346x^81+314x^82+228x^83+176x^84+166x^85+112x^86+74x^87+70x^88+28x^89+36x^90+14x^91+17x^92+2x^93+9x^94+1x^96+1x^98+3x^100 The gray image is a linear code over GF(2) with n=150, k=13 and d=62. This code was found by Heurico 1.16 in 11.9 seconds.