The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 X 1 1 X X 1 1 1 X 1 1 X 1 1 1 X 1 1 1 1 X 1 1 X 1 0 1 X 1 1 X 1 1 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X X 0 X X 0 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X X 0 0 X X 0 X X 0 0 0 0 X 0 0 0 X X X 0 X X X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 X 0 0 0 X X X X X X 0 X X X X X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 0 X 0 0 0 X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X X 0 0 X X X X X X 0 X 0 X X 0 X 0 0 0 0 X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 X 0 X X X 0 X 0 X 0 X X 0 0 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 X 0 X X X X 0 X X X 0 X 0 0 X 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 0 X 0 0 0 X X 0 X X 0 X X X X 0 0 X X 0 0 0 0 0 0 X X 0 0 0 X X 0 0 0 X X X 0 X X X X X 0 0 0 X X 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X X X 0 X X X 0 0 0 0 X X 0 X 0 X 0 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 X 0 0 X X X 0 0 X X X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X X 0 X 0 X X X 0 X X 0 X 0 0 X 0 X X X X 0 X X X X 0 X X X 0 X X 0 0 0 X X 0 X 0 X 0 0 X X X 0 X X X X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 0 X X 0 0 X X 0 X 0 X 0 0 X 0 0 X X X 0 X X X X X X 0 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X X X X 0 X 0 X X X 0 X 0 X 0 X 0 0 X X X X X X X 0 X X 0 0 0 X 0 0 X 0 X 0 0 X 0 X X X 0 X X 0 0 X 0 X 0 X 0 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+107x^68+12x^70+233x^72+64x^74+303x^76+170x^78+316x^80+200x^82+291x^84+56x^86+141x^88+8x^90+78x^92+2x^94+40x^96+20x^100+4x^104+1x^108+1x^128 The gray image is a linear code over GF(2) with n=160, k=11 and d=68. This code was found by Heurico 1.16 in 1.37 seconds.