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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 1 X X 1 X 1 1 1 0 X 0 0 0 0 0 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 0 X X X X X X X 0 0 0 X 0 X 0 0 0 X 0 0 0 0 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 X X X X X X X X X X X 0 0 0 X X 0 0 X 0 X 0 X X X 0 0 X X 0 0 X 0 X 0 X X X X 0 0 X 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 0 X X X X X X X 0 0 0 X X X 0 X X X X X X 0 0 0 X X X 0 X 0 0 X X 0 0 X 0 0 0 0 X 0 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X 0 X 0 0 X X 0 0 X X X X 0 0 0 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 X X 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 0 X 0 X X X 0 X X X 0 X X 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X X 0 X 0 X X X X X 0 X X 0 0 X 0 X 0 0 X X 0 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 X X 0 X 0 X X 0 X 0 X X 0 X 0 0 X X 0 X 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X X X X X 0 0 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 X X X 0 X 0 X X 0 X 0 X X X X 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 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 X X 0 0 X X X X 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X X X 0 X 0 0 X 0 X X 0 X X 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 X X X X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X 0 X 0 0 X X X 0 X X X 0 X 0 X 0 0 X 0 X X X X 0 X 0 X X 0 0 X X X X X 0 X X 0 X 0 0 X X 0 X X 0 X X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+48x^58+155x^60+232x^62+346x^64+428x^66+471x^68+593x^70+1008x^72+1985x^74+2900x^76+2882x^78+2002x^80+1095x^82+647x^84+494x^86+378x^88+287x^90+200x^92+114x^94+71x^96+29x^98+10x^100+5x^102+2x^104+1x^140 The gray image is a linear code over GF(2) with n=154, k=14 and d=58. This code was found by Heurico 1.16 in 81.4 seconds.