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 X X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 X X 1 1 X 1 0 1 1 1 1 X 1 0 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 X X 0 0 X X X 0 X 0 0 X X 0 0 X X 0 0 X 0 X X 0 X X X X 0 X X 0 X 0 0 X X 0 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 0 0 X 0 X X X X X 0 X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 X X X X X X 0 0 0 X X 0 X 0 X 0 X 0 0 X X X X 0 0 X 0 X 0 0 0 X X 0 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X X X X X 0 0 X 0 X X 0 X X 0 0 0 0 0 0 X X X X X X X X 0 0 0 X 0 X 0 X X X X 0 0 X X X 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 X 0 X 0 0 X X X 0 0 0 0 0 0 X X X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 X X X 0 0 X X X X 0 0 0 0 X 0 X 0 X 0 X X X 0 X 0 X 0 0 X 0 X X X 0 X 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 0 X X X 0 0 X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 0 X X X X X X X X X 0 X 0 X X 0 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X X X X X 0 0 X X X X 0 X X 0 0 X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 X 0 0 0 0 0 generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+67x^72+121x^76+36x^78+174x^80+132x^82+192x^84+76x^86+98x^88+12x^90+47x^92+38x^96+22x^100+5x^104+2x^108+1x^144 The gray image is a linear code over GF(2) with n=166, k=10 and d=72. This code was found by Heurico 1.16 in 0.424 seconds.