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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X 1 X X X X X 1 X X X 1 1 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X 0 X X X 0 X X X X X X 0 0 X 0 X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 X X 0 0 X X 0 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X 0 0 X X 0 X 0 X 0 X X X X 0 X X 0 X 0 X 0 0 0 X X 0 0 X 0 X X 0 0 X 0 0 X X X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 X 0 X 0 X X 0 X X X 0 0 X X 0 X X 0 X X X X X X X X 0 0 0 X 0 X 0 X X X X X X 0 X 0 X 0 0 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 0 X X 0 0 0 X 0 0 X X X 0 0 X X X X X 0 0 0 X X X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 0 X X X X X 0 X 0 0 X X X 0 0 X 0 X 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X 0 X 0 X X X X 0 X 0 X 0 0 X X 0 0 0 0 X X 0 0 0 X X X 0 0 0 X X 0 X X 0 X X 0 0 0 0 0 X 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X 0 0 0 X X X X X X X 0 0 X 0 0 X 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 0 X 0 0 0 X 0 X X X X X X 0 X 0 X X X X X 0 0 0 0 0 0 X X X X 0 X 0 X X X X 0 X 0 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X X 0 X X X X 0 0 X X X 0 X 0 X 0 0 0 X X 0 X 0 0 X X 0 X 0 0 0 X 0 X 0 0 0 0 X X 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X 0 X X X X 0 0 X X 0 0 X X X X X 0 X X 0 0 0 0 X X X X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X X 0 X X 0 0 X 0 0 X 0 0 0 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 X 0 0 0 0 X 0 0 0 X X 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X 0 0 X X X 0 X X 0 X generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+166x^64+517x^68+4x^70+845x^72+68x^74+1333x^76+720x^78+2468x^80+1736x^82+3040x^84+1252x^86+1898x^88+308x^90+974x^92+8x^94+659x^96+267x^100+105x^104+12x^108+2x^112+1x^140 The gray image is a linear code over GF(2) with n=166, k=14 and d=64. This code was found by Heurico 1.16 in 83.8 seconds.