The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 0 0 X 1 1 0 1 1 1 1 1 X X 1 X X 0 X 1 1 1 X 1 0 1 1 1 X 0 X X 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 X 1 1 1 X+1 X+1 1 0 X 1 X 1 X 0 X 1 0 1 1 X X+1 0 X 0 1 X+1 X 1 1 1 1 X 0 X 1 X+1 X+1 X 0 0 X 1 X X 0 1 X X+1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 X 0 0 X+1 1 1 X+1 X+1 X+1 1 X+1 1 1 1 X+1 1 1 1 X+1 X+1 1 1 X+1 1 X+1 1 0 X+1 X 0 X X X+1 X 1 X 1 X+1 X+1 0 X X 1 1 1 1 1 X+1 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 X+1 X 0 X 0 1 X X+1 1 X+1 X X 0 X X X+1 X+1 0 X X 1 1 X+1 X+1 1 X+1 X+1 X 0 X+1 1 0 0 X+1 0 X 0 1 1 1 0 X+1 1 0 0 X X X+1 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 0 X+1 1 0 X+1 X+1 1 0 X X 0 0 0 X+1 1 1 1 X 0 X 1 0 X+1 X 1 1 X+1 X+1 1 1 1 X X+1 1 0 0 X X 1 X X 0 X 0 0 X+1 1 X X 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 X+1 X+1 X 0 1 0 0 X+1 0 1 X+1 1 1 X 1 X+1 1 1 X X+1 0 X+1 1 X X+1 X+1 X X X X+1 0 0 X+1 1 X+1 0 1 1 X+1 X X+1 0 1 0 X+1 0 X+1 0 X+1 0 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 1 X+1 X X X+1 1 X 0 X X+1 1 1 X+1 X+1 1 X+1 X+1 1 0 1 X+1 X+1 1 X+1 X+1 1 X X 1 X+1 X+1 1 X X+1 0 X+1 0 0 1 X+1 X+1 1 0 1 X X+1 X 1 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+52x^66+112x^67+234x^68+334x^69+470x^70+524x^71+538x^72+614x^73+692x^74+734x^75+793x^76+794x^77+914x^78+914x^79+922x^80+972x^81+822x^82+980x^83+815x^84+768x^85+677x^86+588x^87+543x^88+400x^89+343x^90+254x^91+204x^92+136x^93+118x^94+46x^95+40x^96+14x^97+7x^98+8x^99+6x^100+1x^126 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 94.2 seconds.