The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 X 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 X 1 1 1 0 0 1 0 1 1 0 1 1 1 0 X 1 1 1 0 1 X 1 0 1 1 0 1 1 X 1 1 0 0 X 1 0 1 1 X 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 0 X+1 1 X+1 1 0 0 X X+1 X+1 0 1 1 0 0 0 1 1 1 1 1 X+1 1 X 1 1 X+1 1 0 X+1 1 1 0 0 1 1 X+1 X+1 0 1 X 1 X+1 1 X 1 1 X+1 X 1 X X+1 1 1 1 1 0 0 X+1 1 X 1 0 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X X 0 X X 0 X 0 0 X X 0 X 0 X X X 0 X 0 X 0 X 0 X X 0 0 X 0 0 0 X 0 X 0 X X 0 0 0 X 0 0 X 0 X 0 X X X 0 X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X 0 0 0 0 X X X 0 X 0 X X 0 0 X X 0 X X 0 0 X X X X 0 0 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 0 X X X 0 X 0 X X X X X X 0 X 0 X X X X X X 0 X X 0 X X 0 0 X X 0 0 X 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X X 0 X 0 X 0 0 0 0 X X 0 0 X 0 0 X X X 0 X 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X X 0 X 0 0 X X 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 0 0 0 X X X X X X 0 X X 0 X 0 0 X X 0 0 X X X 0 X 0 0 X X 0 0 0 X X 0 X 0 0 X X X 0 0 0 X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X X X X 0 X X 0 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 0 X X 0 X X 0 X X X X 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 X X 0 0 0 X X 0 X X X X X X X 0 0 0 X 0 0 0 0 X 0 X X 0 X X 0 X 0 X X 0 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X 0 0 0 X 0 X X X X 0 0 0 X 0 X 0 0 X X X X 0 0 X X X 0 0 0 X X X X 0 X X X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 X X X 0 0 X 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 X 0 X 0 0 0 X X 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X X X 0 X 0 X X X X X 0 X 0 X 0 X X X X 0 X X X 0 X X X 0 0 X 0 X X X 0 X 0 X X 0 0 0 X 0 0 0 X 0 X X X 0 X 0 0 X X 0 X 0 X X X generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+166x^68+18x^70+463x^72+258x^74+1044x^76+874x^78+1772x^80+1498x^82+2252x^84+1654x^86+2158x^88+1222x^90+1357x^92+526x^94+656x^96+94x^98+245x^100+95x^104+23x^108+6x^112+1x^116+1x^128 The gray image is a linear code over GF(2) with n=170, k=14 and d=68. This code was found by Heurico 1.16 in 63.6 seconds.