The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 X X 1 1 1 1 1 X 0 X 1 1 0 0 1 1 1 1 X X X 1 1 X 1 0 0 X 1 1 1 X 1 1 X 0 1 0 1 X 1 X 1 1 X 1 0 X 1 1 X 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 X+1 0 X X+1 1 X 0 X 0 1 1 0 X+1 1 1 X+1 1 X X+1 1 1 X 1 X+1 1 0 X X X X+1 1 X+1 1 0 X 0 X 0 1 X+1 1 0 0 X+1 1 0 0 1 1 X X+1 1 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 1 X+1 1 0 1 0 X X 0 1 0 X+1 X X+1 1 X+1 X 0 X+1 1 1 1 X+1 0 1 1 1 X X+1 1 X+1 X+1 X 1 1 X+1 0 X X 0 0 1 X+1 1 X 1 1 X 1 1 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 0 1 0 1 0 0 0 X+1 1 1 0 X+1 1 X+1 X X X 1 X+1 0 0 1 X 1 X 1 1 X+1 0 X X X 0 X+1 1 X 0 0 1 X 0 X+1 1 0 X+1 X+1 X+1 0 X X+1 0 X 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 1 X 1 X 1 X+1 1 X X+1 X X+1 X+1 1 0 X+1 X X 1 X 0 0 X 1 0 X 1 0 1 X+1 0 X+1 0 X 1 X+1 1 X+1 1 X+1 0 1 1 1 X+1 X X 0 1 0 X 1 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 X 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 0 X X 0 0 X X X X X X 0 X 0 0 X X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 X X 0 0 X X 0 X 0 X 0 X X 0 X 0 X X X X 0 X 0 X 0 0 X 0 X X 0 X X X 0 X X 0 X X X 0 0 X X 0 X X X 0 X 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 X X X X X X X X X X X X X X 0 X X X X X X X 0 0 X X 0 0 X X X X X X X 0 0 X 0 0 0 0 0 X X X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+72x^67+179x^68+218x^69+275x^70+306x^71+364x^72+374x^73+381x^74+394x^75+454x^76+456x^77+480x^78+494x^79+421x^80+430x^81+409x^82+430x^83+349x^84+378x^85+313x^86+254x^87+204x^88+154x^89+145x^90+78x^91+62x^92+36x^93+32x^94+18x^95+10x^96+2x^97+9x^98+2x^99+4x^100+4x^102 The gray image is a linear code over GF(2) with n=158, k=13 and d=67. This code was found by Heurico 1.16 in 13.8 seconds.