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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 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 X X X X X X X 0 X 0 X 0 X 0 X X X X X 0 0 0 X X X X X X 0 X X X X X X X X X X 0 0 0 0 0 0 X X 0 0 0 0 X X X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 X X X X X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 X X X X X X 0 0 0 0 0 0 0 0 X X 0 0 0 X X 0 0 0 X X X 0 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X X X X X X X X 0 0 0 X X 0 X X X X X X X X 0 0 0 X X 0 0 0 0 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X X X 0 0 0 X X X X 0 0 0 X X X X X 0 X 0 0 X 0 X X X 0 0 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 0 X X 0 0 X X 0 0 0 0 X X X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X X X 0 0 0 X X 0 0 X X 0 X X 0 X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+57x^80+32x^82+85x^84+32x^86+38x^88+10x^92+1x^164 The gray image is a linear code over GF(2) with n=168, k=8 and d=80. This code was found by Heurico 1.16 in 0.109 seconds.