The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 X 0 1 0 X 0 1 1 0 X X 0 1 X 1 1 1 1 1 X 0 X 0 1 0 1 1 1 X 1 1 1 X 1 0 0 0 0 X 0 1 1 1 X 1 0 X 1 1 1 0 X 1 0 0 1 X 1 X 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 0 1 1 X 1 X 1 0 0 X 1 1 1 0 X X+1 X+1 X+1 1 0 X 1 1 1 0 1 X X+1 0 0 X X+1 0 X 1 1 1 1 X 1 X 1 0 X X X+1 1 1 X X+1 X X 1 X 1 0 X+1 0 X+1 0 X+1 1 1 X 1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 0 X X+1 X+1 0 1 1 X+1 X 1 0 0 1 X X X+1 X+1 X X X 0 X X+1 1 1 X+1 1 0 0 X 1 X+1 0 0 0 X+1 0 X 1 0 X 0 0 1 X 1 X+1 X X+1 0 X 1 0 X+1 X+1 1 0 1 X 1 X+1 0 X+1 X 1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X X+1 X+1 1 1 0 X X+1 X+1 X 1 1 X X+1 0 X+1 1 1 0 0 1 X+1 1 0 0 0 1 X 1 X X X+1 1 1 X 1 0 0 X X+1 0 0 0 0 X X X X+1 0 1 X+1 X 0 0 0 X+1 X X 0 0 1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 X 0 0 X+1 1 X+1 X+1 0 X X X+1 X+1 0 X 0 X+1 X+1 X+1 X+1 0 0 0 X+1 X X X 1 1 1 1 X X+1 X X+1 1 X+1 1 X+1 1 X 1 X+1 X+1 X X X X 1 X X+1 0 1 0 0 0 1 X+1 1 1 X X+1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 0 0 X X 0 X X 0 0 X 0 0 0 X X X 0 0 0 X 0 X 0 X X X X 0 X X 0 X X X X 0 X X 0 X 0 X X X X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X X X 0 0 0 0 X 0 0 X X 0 0 X X X 0 0 X 0 0 X X 0 0 0 X X X 0 X 0 X 0 X 0 0 X X 0 0 0 0 X X 0 X 0 X 0 X X 0 0 0 X 0 X X X 0 0 X 0 generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+56x^68+76x^69+130x^70+206x^71+221x^72+212x^73+228x^74+262x^75+209x^76+242x^77+248x^78+206x^79+191x^80+202x^81+204x^82+190x^83+174x^84+162x^85+130x^86+100x^87+115x^88+82x^89+60x^90+52x^91+49x^92+40x^93+20x^94+8x^95+8x^96+8x^97+4x^98 The gray image is a linear code over GF(2) with n=158, k=12 and d=68. This code was found by Heurico 1.16 in 3.84 seconds.