The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 1 1 0 1 0 0 1 X 0 1 0 1 X 1 1 0 X 0 1 1 1 X 1 1 0 1 1 0 1 1 X X 1 X 1 X 1 0 1 0 0 1 1 1 1 X 1 1 X 1 0 X X 0 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 X+1 0 X+1 1 X X 0 1 X 1 0 1 X+1 1 X+1 X 1 0 0 1 X+1 X+1 1 0 X+1 1 X 0 1 X+1 X 0 0 1 1 X X 0 X X X X 0 X X+1 X+1 0 0 X 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 X+1 X+1 X X+1 X X 1 1 1 0 X X+1 1 X 0 1 0 1 1 1 X+1 1 X+1 X+1 X X+1 1 0 X 1 X+1 1 X X X X 1 X+1 1 0 1 0 X+1 X+1 1 X 1 X+1 1 0 1 X+1 X+1 1 X+1 X 1 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 0 0 X 1 X X X+1 X+1 0 X+1 1 X 0 1 X+1 X+1 X X X X+1 1 X+1 1 X X 0 X+1 X+1 X+1 1 1 0 X 0 0 X 1 1 1 1 X 0 1 X X+1 X X+1 1 X+1 1 0 X 1 X+1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 X 0 X 0 X X X 0 X X X X X X X X X 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X 0 X 0 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 X 0 X 0 X X X X X X X 0 X 0 0 X X 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 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 0 X 0 X X 0 X X 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X X 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 X 0 X X X 0 X 0 0 X X 0 0 X 0 X X X X 0 X X 0 0 X X 0 X X 0 X X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 X X X 0 0 0 0 X X X X X 0 0 0 X X X 0 X X 0 X X 0 0 0 X X 0 X 0 X 0 X 0 X X 0 0 X 0 X 0 X X 0 X X 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 0 X 0 X X 0 X X 0 X X X 0 X 0 X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X X X 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+56x^61+144x^62+160x^63+298x^64+350x^65+444x^66+516x^67+633x^68+696x^69+740x^70+840x^71+884x^72+904x^73+974x^74+1020x^75+964x^76+1010x^77+902x^78+928x^79+796x^80+718x^81+583x^82+492x^83+371x^84+284x^85+237x^86+120x^87+109x^88+76x^89+60x^90+20x^91+30x^92+2x^93+8x^94+7x^96+3x^98+2x^100+1x^102+1x^104 The gray image is a linear code over GF(2) with n=150, k=14 and d=61. This code was found by Heurico 1.16 in 94 seconds.