The generator matrix 1 0 0 0 0 1 1 1 X X 1 1 1 1 X X 1 0 X 0 0 1 1 1 0 0 1 1 X 1 1 1 0 1 0 1 X X 1 1 0 1 1 1 X 1 X 0 X 0 0 X 1 X 1 X 1 1 1 X 1 1 X 1 1 X X 1 1 0 0 1 0 1 1 0 0 1 X X 1 1 X 0 1 0 1 1 1 0 1 0 0 0 0 0 X X 1 1 X+1 1 X+1 1 1 0 1 1 X 1 1 X+1 1 X 1 X 1 0 0 X X 0 1 0 X+1 0 0 X 1 X X+1 X+1 0 X X 1 1 1 1 1 X 0 X X+1 1 1 X+1 0 1 0 X+1 1 1 0 1 X 0 X+1 0 1 X X 1 1 0 1 X+1 X 0 X X+1 X X 0 X X X+1 1 0 0 1 0 0 0 0 0 X 0 X X X 0 0 X X X+1 1 1 X+1 X+1 1 1 1 1 X+1 1 1 1 X+1 X+1 1 0 0 X 1 1 1 X+1 X X+1 1 1 0 1 X+1 1 X 1 X 1 0 1 1 1 X+1 X+1 X+1 X+1 X+1 0 0 1 0 1 1 X X 1 X+1 0 0 1 0 1 1 X 1 X 1 X+1 X 1 1 0 0 0 X 0 0 0 1 0 1 X 1 1 1 1 X+1 0 X X+1 0 1 1 X 1 0 X+1 0 X+1 X X+1 X X X+1 X+1 X X+1 0 0 X X+1 X+1 1 1 X+1 1 0 0 X 1 X+1 0 1 X+1 0 1 1 X+1 0 1 X+1 0 X+1 1 X X+1 1 0 X+1 1 1 0 X 0 0 X 0 0 X 1 1 X+1 1 X 1 0 1 1 X+1 0 1 X X X 0 0 0 0 1 1 1 0 1 X X 1 0 X+1 X+1 X+1 X+1 1 0 0 X+1 1 X 0 1 X X 1 1 X+1 X+1 0 X X+1 1 1 0 X+1 X+1 X X+1 0 1 X 0 1 0 0 1 X+1 X 1 0 X+1 1 X 1 X X 0 X X+1 X X 0 X+1 1 0 0 0 X+1 X 1 0 X 0 0 X X+1 1 0 1 1 X X+1 1 1 0 1 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 X X X X X X X X X X X X X X X X X X X 0 X X X X X X X 0 0 X X X X 0 0 X 0 X X X X 0 X X X 0 0 X 0 X X X X X X 0 0 0 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+95x^80+268x^82+302x^84+284x^86+240x^88+172x^90+160x^92+128x^94+130x^96+80x^98+70x^100+64x^102+22x^104+24x^106+4x^108+4x^110 The gray image is a linear code over GF(2) with n=178, k=11 and d=80. This code was found by Heurico 1.16 in 0.891 seconds.