The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 X 1 X 1 1 0 1 1 1 X X 1 X X 1 X 1 X X X 1 1 1 1 0 0 X 1 0 1 1 0 1 1 1 0 1 1 1 X 0 0 1 X 0 1 1 X X X X 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X 1 X+1 X 0 X X X 1 X 1 1 X+1 1 1 X+1 1 X 1 1 X 0 1 X 1 X X 1 X 1 0 1 1 0 X 1 0 1 0 1 0 X 1 1 1 1 1 0 0 0 X X 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X 1 X+1 0 X X X 1 1 X+1 0 1 0 X+1 X+1 X+1 1 1 1 X+1 X+1 X X+1 X 1 0 X X 1 1 X+1 1 0 1 0 X X X 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X+1 X 1 0 1 1 X+1 0 0 X+1 0 X 0 0 X 0 X 1 X+1 1 X+1 X X 1 X 0 1 1 X X X+1 X+1 X+1 1 1 1 0 1 1 1 1 X 1 X+1 X 0 0 1 X 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 X 0 X X 0 X 0 0 0 X 0 0 X 0 X 0 X X 0 X X 0 0 X X X 0 X X X 0 X X X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X X 0 X X 0 0 X 0 0 X 0 X X 0 X 0 X X X X X X 0 0 X X X X X X X X X 0 X X X 0 X X 0 X X X X 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 X X X 0 X X X X X 0 X X 0 0 X 0 X 0 0 X X X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 X X 0 0 X 0 0 X X 0 0 0 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 X 0 X X X 0 0 X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 X X X X X 0 0 X 0 X X 0 X 0 X 0 X X X 0 X X 0 0 0 X 0 0 generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+172x^68+398x^70+720x^72+652x^74+910x^76+844x^78+924x^80+828x^82+866x^84+716x^86+524x^88+320x^90+182x^92+72x^94+35x^96+8x^98+14x^100+2x^102+4x^104 The gray image is a linear code over GF(2) with n=160, k=13 and d=68. This code was found by Heurico 1.16 in 13.6 seconds.