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 X 1 X X 1 1 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X X 0 0 X X 0 X X X 0 X 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 0 0 X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X X 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 0 0 X X 0 X X X X X 0 X X X X X 0 0 0 X X 0 0 X 0 0 X X 0 X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 X X X 0 0 0 X 0 X X 0 X X 0 0 0 X X X X 0 X 0 X X 0 0 X X X 0 0 X 0 0 X X X 0 0 0 0 0 X 0 X X 0 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 X X 0 0 0 X X 0 0 X X 0 0 X X 0 0 0 X X X 0 X 0 X X X X 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 X X 0 0 X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 X X X 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 X X X X 0 0 X X 0 0 X X 0 0 X X X 0 X 0 X 0 X 0 0 0 X 0 X 0 0 X 0 0 X X X X 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X X X 0 X 0 0 0 X X 0 X X 0 X X X X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 X X 0 X X X X X X X X X 0 0 X X X 0 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 0 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 X 0 X 0 X X X X 0 0 0 0 X X X X X X 0 0 0 0 0 0 0 X X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X X 0 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+49x^70+71x^72+40x^74+80x^76+127x^78+86x^80+8x^82+31x^86+17x^88+1x^94+1x^144 The gray image is a linear code over GF(2) with n=154, k=9 and d=70. This code was found by Heurico 1.16 in 57.4 seconds.