The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X 1 X X 1 X 1 X X X 1 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 X X X X X X X X X X 0 X X 0 X X X X X X 0 X 0 0 X X X X X 0 0 X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X 0 0 X X 0 X X X 0 X X 0 X 0 0 X X X 0 X X X 0 X X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 X X X 0 X X 0 0 0 0 0 X X X X 0 X 0 X 0 X X 0 X 0 0 0 0 X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 X X 0 0 X 0 X X X X 0 0 0 X X 0 X 0 X X 0 X X X X 0 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X X 0 X X 0 X X X X 0 X X X 0 X X 0 0 X X 0 0 0 0 X X 0 X X 0 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 X X X X 0 X 0 0 X 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X X 0 X 0 X X X X X 0 0 0 0 0 X X 0 0 X 0 X 0 X X 0 X X 0 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X X 0 X X X 0 0 X X X 0 0 0 X 0 X X X 0 0 0 0 X 0 0 X X 0 X 0 X X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X X 0 X 0 0 X X 0 X X 0 0 0 X X 0 X X X 0 0 X 0 0 0 0 0 X X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 X X 0 X X X 0 X X X X X X 0 X 0 X X X X X 0 0 X 0 X 0 X 0 X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 X 0 0 0 X 0 0 0 X 0 X X X 0 X 0 X 0 0 0 0 0 0 X 0 0 X 0 0 0 X X generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+48x^58+129x^60+180x^62+2x^63+210x^64+8x^65+272x^66+68x^67+301x^68+232x^69+288x^70+478x^71+299x^72+784x^73+322x^74+952x^75+327x^76+784x^77+318x^78+478x^79+305x^80+232x^81+290x^82+68x^83+267x^84+8x^85+200x^86+2x^87+137x^88+86x^90+60x^92+37x^94+8x^96+6x^98+4x^100+1x^126 The gray image is a linear code over GF(2) with n=150, k=13 and d=58. This code was found by Heurico 1.16 in 35.8 seconds.