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 1 1 1 0 0 1 1 X X 0 1 1 1 X 0 0 1 0 1 1 X X 1 1 1 1 1 1 1 1 1 0 1 1 1 X 1 0 1 1 0 1 1 1 X X 0 1 X 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 1 1 1 1 1 X+1 0 1 X+1 0 1 0 1 X X 0 X X 1 1 1 X+1 0 1 1 1 0 X+1 X X+1 X 1 X X+1 1 0 X+1 1 X 1 1 X+1 X+1 1 0 0 1 1 0 X X+1 1 X 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 0 X 0 X X+1 1 X+1 X+1 1 X+1 1 X+1 1 X+1 X+1 1 1 X+1 X+1 X+1 X+1 X+1 1 1 1 X 1 0 1 X+1 1 X X+1 1 X+1 0 X 1 1 1 X X+1 0 0 1 1 X+1 1 0 0 1 X 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 0 1 1 0 0 X+1 1 X+1 1 1 X+1 0 X 0 X+1 1 1 0 X+1 0 X 1 X+1 X X+1 1 0 1 X X+1 X 1 X X X X+1 X+1 X X+1 1 0 0 X X 1 0 0 1 X 1 X X 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 X+1 1 1 X 0 X 1 X+1 X 0 X+1 X+1 X X+1 0 X+1 X X 0 X 0 X X X+1 1 X X+1 0 0 0 0 1 X+1 X 0 X+1 1 X+1 X+1 X 0 0 X+1 0 0 X+1 X 1 X+1 1 X+1 X+1 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 1 0 X X+1 X+1 X+1 X+1 X+1 0 1 X 0 X+1 0 0 0 X+1 X X+1 X+1 X X+1 0 X+1 X 1 X+1 0 1 X 0 X+1 0 X 0 X 0 0 X X+1 X+1 0 X X X+1 0 X 0 0 1 0 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 X+1 0 X+1 0 X+1 X+1 0 1 1 1 X X X X+1 X+1 0 X+1 X 0 X+1 X+1 X X X 0 X X+1 0 X 0 0 X 0 0 X+1 0 1 1 0 1 X 1 X+1 X X+1 X 1 1 X+1 1 X 1 generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+62x^69+114x^70+256x^71+366x^72+384x^73+477x^74+592x^75+699x^76+700x^77+777x^78+756x^79+833x^80+816x^81+859x^82+954x^83+848x^84+888x^85+868x^86+866x^87+768x^88+708x^89+625x^90+588x^91+437x^92+320x^93+312x^94+184x^95+118x^96+76x^97+63x^98+26x^99+24x^100+14x^101+2x^103+2x^104+1x^142 The gray image is a linear code over GF(2) with n=166, k=14 and d=69. This code was found by Heurico 1.16 in 97.5 seconds.