The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 0 1 0 1 0 1 1 1 X 1 0 0 X 0 1 1 1 X X 1 1 1 0 1 1 0 1 1 1 0 1 1 X 1 0 1 0 1 1 1 X X 1 1 1 1 1 X 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 X X+1 1 X 0 X+1 0 X 1 X+1 1 1 1 1 0 0 X+1 1 X 1 X X X X+1 1 1 0 X 1 1 0 X 1 X 0 X 0 X+1 1 1 1 1 0 X X+1 1 0 0 X 1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X+1 1 0 0 1 1 0 0 X+1 X+1 1 X 1 1 X X+1 X 0 X+1 1 1 0 1 1 1 X+1 X+1 X X+1 X+1 X 0 X 0 X 1 X+1 1 0 0 1 X+1 0 1 1 X+1 1 1 1 1 X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 0 X 0 X 0 X 0 X X 0 0 X 0 X X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X X 0 X X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X 0 0 X X X X 0 0 X 0 X 0 0 X X 0 X 0 X 0 X X 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X X 0 0 0 X X X 0 0 X 0 0 X X X 0 X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 X X X 0 0 X X 0 0 X 0 X X 0 X 0 X X 0 X X X 0 X 0 0 X X 0 0 X X X X 0 X 0 0 X X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 X 0 X X X X X 0 X 0 X X 0 X X 0 0 X 0 0 X X X X X 0 X 0 0 X 0 0 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X X X X 0 X X 0 0 X X X X 0 X X X 0 0 X X 0 0 0 0 0 0 0 X X 0 0 0 0 0 X 0 X X X X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 X X X 0 X X X 0 X 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 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 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X 0 X X X X X 0 X X 0 X 0 0 0 X generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+46x^58+36x^59+151x^60+166x^61+269x^62+314x^63+373x^64+470x^65+593x^66+652x^67+795x^68+852x^69+926x^70+1014x^71+993x^72+1104x^73+949x^74+1088x^75+926x^76+878x^77+764x^78+678x^79+581x^80+486x^81+387x^82+268x^83+185x^84+120x^85+114x^86+42x^87+67x^88+20x^89+41x^90+4x^91+22x^92+7x^94+1x^96+1x^108 The gray image is a linear code over GF(2) with n=146, k=14 and d=58. This code was found by Heurico 1.16 in 47.4 seconds.