The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 0 X X 1 1 1 X X 0 X 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 X X 0 X 0 0 X 1 1 1 1 1 0 1 1 X X 1 1 0 0 0 1 1 0 1 1 X 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X+1 X 1 1 X 0 1 0 X 1 1 X+1 X 1 0 0 X X+1 1 X X+1 0 1 X+1 X 1 0 1 1 1 1 X 0 1 1 0 1 X 1 1 1 X 1 1 1 1 1 1 0 0 X+1 1 X 0 1 0 0 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X 1 X+1 1 0 1 0 0 1 X X X 0 1 0 X+1 1 X+1 0 1 0 0 X+1 1 X+1 1 X 1 0 1 1 1 1 0 0 1 1 X+1 X+1 X X+1 X+1 1 X 0 X X+1 X+1 1 X X+1 X+1 1 X 1 1 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 0 1 X+1 0 0 0 X 1 X X 1 1 1 X+1 X+1 1 0 0 X 1 0 0 X 0 1 1 0 1 1 X X+1 1 X 1 X X 0 X+1 X+1 0 1 1 1 1 X 1 1 X X X+1 X X X 1 0 1 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 1 X 1 X X+1 0 X 1 1 X+1 X 1 0 0 X X+1 1 X+1 0 1 1 X 0 X+1 1 X 1 X X+1 1 1 X+1 X+1 X 0 0 X 0 1 1 X 0 X X+1 0 X+1 X+1 X+1 0 0 X+1 X 0 X+1 0 1 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X X X X X X X X 0 0 0 X X X 0 0 X 0 0 X X 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X 0 X X X X X 0 0 0 X X X 0 0 0 0 X 0 0 X 0 0 X 0 0 0 X 0 X X 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 0 0 X 0 X 0 0 X 0 X X X 0 X X 0 0 0 0 X 0 X 0 X X X X 0 0 0 0 X X X 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 0 X 0 X X 0 X 0 0 0 X 0 0 0 0 0 X X X 0 0 X 0 0 X X X X 0 X 0 X 0 X X X X 0 0 X 0 X X 0 X 0 0 X 0 0 X 0 0 generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+66x^58+68x^59+211x^60+298x^61+374x^62+442x^63+538x^64+578x^65+717x^66+746x^67+711x^68+884x^69+943x^70+1094x^71+1018x^72+1000x^73+958x^74+976x^75+879x^76+826x^77+672x^78+544x^79+511x^80+394x^81+273x^82+186x^83+185x^84+104x^85+76x^86+30x^87+36x^88+12x^89+10x^90+8x^91+6x^92+6x^94+2x^95+1x^102 The gray image is a linear code over GF(2) with n=144, k=14 and d=58. This code was found by Heurico 1.16 in 80.2 seconds.