The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 1 1 X 0 0 1 X 1 1 1 1 0 0 X 1 X 1 X 0 1 X 1 X 0 1 X 1 0 1 1 1 X 1 1 0 1 X 0 X 1 0 X X 1 1 1 0 1 1 X X 0 1 1 0 1 1 1 X 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 X+1 1 1 1 1 X 0 X X+1 X+1 X X 1 1 1 1 1 1 1 X 0 0 X 1 X 1 1 X X+1 0 1 X 1 1 0 1 0 X 1 X 0 1 X 0 X 0 1 X 0 1 0 1 1 1 X+1 0 1 0 0 X X 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X 1 X+1 0 0 X+1 X+1 X X+1 1 X 1 1 X X 0 0 1 0 1 X+1 1 X 1 X+1 X 1 X 1 0 0 X 1 1 0 X+1 X 1 1 X X 0 X 1 1 0 X+1 0 X 0 X X+1 0 1 1 X X X 0 X+1 1 1 1 X+1 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X X+1 X+1 0 1 X+1 X X 0 0 X+1 X 1 X X+1 X+1 0 X X+1 X 0 1 1 X X X+1 X+1 0 X X X X+1 0 X 0 1 1 0 X X+1 X 0 X X+1 X 1 1 X X 1 X+1 X+1 1 X+1 1 X X X 1 1 X 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 0 X+1 X+1 X+1 1 X X X 1 X+1 0 X+1 0 X 1 0 X+1 0 X+1 1 X 1 X X 0 X+1 X+1 0 1 0 1 1 0 1 X 1 X+1 1 X+1 1 1 1 0 X+1 X 0 X 0 X 0 0 1 X+1 1 X 1 X X 1 X+1 1 X+1 X+1 X+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 0 X+1 X 1 X+1 0 1 X X X X 0 0 X+1 1 0 1 1 1 1 0 X X+1 X+1 1 0 X X+1 1 X 0 X+1 X X X 1 0 X X X+1 X+1 X+1 1 X 0 X+1 0 X+1 X+1 X X+1 X+1 0 1 0 1 1 X X+1 0 1 1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 0 0 0 0 X X 0 X X 0 0 0 X 0 0 X 0 0 0 X 0 X X 0 X X 0 X X 0 X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X 0 X X X 0 0 X X 0 X X 0 X X 0 0 X X X 0 0 X X X 0 X 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 X X X 0 X 0 generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+53x^66+108x^67+231x^68+314x^69+419x^70+478x^71+551x^72+686x^73+676x^74+758x^75+844x^76+842x^77+922x^78+884x^79+842x^80+918x^81+904x^82+922x^83+830x^84+780x^85+689x^86+648x^87+578x^88+424x^89+338x^90+252x^91+182x^92+120x^93+82x^94+46x^95+35x^96+12x^97+13x^98+1x^104+1x^132 The gray image is a linear code over GF(2) with n=160, k=14 and d=66. This code was found by Heurico 1.16 in 95.8 seconds.