The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 X 1 0 0 1 1 1 0 1 1 X X 1 1 1 0 X 1 1 X X 0 X X 1 0 X 0 X 1 X 0 1 0 X 1 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X X 0 X+1 0 X X+1 X+1 1 X+1 1 X+1 1 X X 1 1 0 0 X+1 X X X+1 X X 0 0 1 1 1 X+1 X 1 0 1 0 1 X+1 0 1 X 0 1 1 X 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X X X X+1 1 1 X X 0 X+1 X+1 1 1 X 1 X X+1 X 0 0 X 1 0 1 0 0 X 1 1 1 1 X 1 1 X+1 X 0 1 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 X 0 0 1 1 X+1 0 1 0 X 0 X+1 0 X 1 X+1 1 X 1 X 0 X+1 X+1 X+1 0 0 1 X 0 1 1 0 X+1 0 1 1 1 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 X+1 0 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 1 1 X+1 X X 0 1 1 0 X 0 0 X+1 X+1 0 X+1 1 X+1 X 0 X 1 1 X+1 1 0 X+1 X X 1 X+1 0 1 1 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 0 X+1 X 1 1 X 0 X+1 1 1 X 1 X+1 0 X+1 0 0 1 1 X+1 X X+1 X X+1 X+1 0 X 1 1 X 1 1 0 0 X X X X X+1 X 0 0 X+1 X+1 X 1 X X 1 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 X X 0 0 X X X X X 0 0 0 X 0 0 0 X 0 X 0 X X X X 0 0 X X X X 0 X 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+144x^68+428x^70+657x^72+764x^74+898x^76+846x^78+901x^80+844x^82+850x^84+638x^86+517x^88+346x^90+217x^92+96x^94+36x^96+6x^98+2x^100+1x^108 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 12.7 seconds.