The generator matrix 1 0 0 1 1 1 0 1 1 0 X 1 1 X 1 X 0 1 1 1 X 1 X 1 0 1 X 1 X X 1 1 X X 0 X 1 1 X 1 X 1 X 1 X X 1 X 1 X 0 X 1 1 1 X 1 1 0 X X 0 1 0 1 1 X X 1 1 1 1 1 X 0 X 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 X X 1 1 1 1 0 0 1 X+1 1 X 1 X 1 0 1 1 X X+1 1 1 X+1 1 1 X X 0 0 0 1 X+1 1 0 X X+1 X 1 X+1 X 0 X 0 1 X 0 X X X 1 1 0 1 1 X+1 X 1 0 1 1 0 X 1 0 1 1 1 1 0 1 1 0 1 0 0 X+1 0 1 X 0 0 1 1 1 0 1 0 1 1 0 X+1 X X+1 0 1 0 X 1 1 X+1 X X X+1 X+1 X+1 1 X+1 1 0 X 0 X 1 1 1 X+1 X 1 0 X+1 X 1 0 1 0 X+1 1 1 1 1 1 0 1 X 1 X+1 X+1 X+1 1 0 X X 1 1 1 X+1 X+1 X+1 1 1 X 1 X 1 X X X+1 1 0 X 1 1 X+1 0 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 X 0 X X X X X X 0 X X X 0 X 0 0 X 0 X 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 X X 0 X X X X 0 0 0 X X X X X 0 0 0 X X X 0 0 0 0 X 0 0 0 0 X X 0 X X X 0 X X 0 0 0 X 0 0 X X X 0 0 0 X X 0 0 0 0 0 X X X 0 X X X X X 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X 0 0 0 X 0 0 X X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 X 0 X X 0 X 0 0 0 X 0 0 0 X X X 0 X 0 X 0 0 X 0 0 X X 0 X X 0 X X 0 X X 0 0 X X 0 X 0 X 0 X X 0 X 0 X X 0 X X 0 0 0 X 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X X X X X X X 0 X X X 0 0 X 0 X X 0 X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 0 0 0 X X X X 0 0 X X X X X 0 X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X X X X X X X X 0 0 X X 0 0 X X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 X X 0 X 0 0 X X X X X 0 0 X X 0 X X X 0 X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+130x^78+218x^80+307x^82+247x^84+276x^86+170x^88+184x^90+117x^92+145x^94+87x^96+69x^98+39x^100+32x^102+12x^104+8x^106+5x^108+1x^110 The gray image is a linear code over GF(2) with n=174, k=11 and d=78. This code was found by Heurico 1.16 in 1 seconds.