The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 X 1 1 0 1 0 1 X 1 1 1 X 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 0 1 1 1 1 1 0 1 1 1 X 1 X 1 1 1 1 1 0 0 X 1 1 0 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 1 X+1 0 X 0 X X+1 1 0 1 1 0 X+1 1 X 1 1 1 0 1 X+1 1 1 1 X 0 X X X+1 1 0 X 0 0 X X X X 0 1 1 X 0 0 X X X 0 X+1 1 X+1 1 X 0 X+1 X X+1 0 X+1 X X+1 X 0 1 1 X 0 X X 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 X X X 0 X 0 X 0 X 0 X 0 X X 0 0 0 X X X X X X 0 0 X 0 0 0 0 X X X 0 X X X X 0 0 X X X X 0 0 0 X 0 0 X 0 0 0 X X X 0 0 0 X X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 X X X X X X X X X X X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 X X X 0 X X 0 X X 0 X X 0 0 0 X 0 X 0 X X X X 0 X 0 0 X 0 X 0 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X 0 0 X X X 0 0 X 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 0 X X X X 0 0 X 0 X 0 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 X X 0 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 X X X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 0 X X X 0 0 0 X 0 X 0 X X X X 0 0 0 0 X X 0 X X 0 X 0 X X 0 X 0 X X 0 X X 0 0 0 0 X X 0 X 0 generates a code of length 84 over Z2[X]/(X^2) who�s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+74x^78+105x^80+82x^82+56x^84+62x^86+55x^88+22x^90+24x^92+11x^94+13x^96+3x^102+1x^110+1x^112+1x^118+1x^120 The gray image is a linear code over GF(2) with n=168, k=9 and d=78. This code was found by Heurico 1.16 in 3.88 seconds.