The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 1 0 1 1 X 1 1 1 1 X 1 X X 1 0 1 X 1 0 X 0 0 1 0 1 1 0 1 0 0 1 X 1 1 1 X 1 0 0 0 1 1 1 X 1 X 1 1 X 1 1 1 1 1 X X 1 X 1 1 0 1 X 1 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 X+1 1 1 X+1 X+1 0 X+1 1 1 1 1 0 1 X 1 X 1 X 0 X X 0 X X 1 X+1 1 X 0 1 X 1 0 1 X 1 0 1 0 X X+1 1 0 0 1 0 X X X 1 X+1 0 1 1 1 1 0 1 1 X 1 X 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 X X+1 0 X+1 X X 1 X 0 X+1 0 X+1 0 1 X+1 1 0 X 1 0 1 1 1 0 1 0 X+1 X+1 X+1 X X X+1 0 X+1 X X+1 1 1 1 0 0 X+1 X X X 1 X+1 1 0 0 1 1 1 0 X 0 X+1 X X 1 X+1 1 0 0 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X 1 X+1 X+1 X+1 0 0 X 1 X+1 0 1 1 0 1 1 1 X X+1 X+1 1 1 X 0 0 0 X X+1 X 0 X 1 1 0 X X+1 0 1 X X X+1 X+1 0 X+1 1 X+1 X 1 0 0 1 1 0 0 1 1 0 X X 0 X 0 0 1 X X 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 1 X X 1 X 0 1 1 0 X X 0 X+1 1 X X+1 0 0 X+1 0 X+1 X+1 1 1 0 X+1 X+1 0 X+1 X+1 X 0 X+1 1 X+1 0 X+1 1 X+1 X 1 0 X 1 X 0 X+1 0 0 0 1 X X X+1 X+1 0 1 X X+1 X+1 0 X+1 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 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 0 X X X 0 0 X 0 X X X X X X X X 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 0 X X 0 X X X X X 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 X 0 X 0 X 0 X 0 X 0 X X X 0 0 0 0 0 X X X X generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+195x^74+373x^76+431x^78+550x^80+466x^82+439x^84+360x^86+351x^88+274x^90+231x^92+169x^94+135x^96+80x^98+29x^100+8x^102+3x^104+1x^106 The gray image is a linear code over GF(2) with n=168, k=12 and d=74. This code was found by Heurico 1.16 in 4.79 seconds.