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 X 1 X 1 1 X 1 X X 1 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X X 0 X 0 X 0 X X 0 0 X X X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 0 0 X X 0 X 0 X 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 X X 0 X X 0 0 X X 0 X 0 0 X X X 0 X 0 0 X 0 X X 0 X X X 0 0 X X 0 0 X X 0 X X 0 0 X X 0 X 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X 0 0 0 X X X X X X 0 0 0 X X X 0 X 0 0 0 X X 0 0 X X X 0 X X 0 X 0 X 0 X 0 X X 0 X X X X X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 X X X X X X 0 X X X 0 X X 0 0 X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X X 0 X X X X 0 0 X 0 0 0 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 X X 0 X X X 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X X X 0 X 0 X X X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 X X 0 0 0 X X X 0 X X 0 0 0 X X 0 X 0 X X X X 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 X X 0 0 X X X 0 0 X X X 0 X 0 X X 0 X X 0 X X 0 0 X 0 0 0 0 X X X X X 0 0 X X 0 0 0 0 X 0 X 0 X X 0 X X 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+120x^72+120x^76+213x^80+8x^84+48x^88+1x^96+1x^144 The gray image is a linear code over GF(2) with n=156, k=9 and d=72. This code was found by Heurico 1.16 in 23.6 seconds.