The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 0 0 1 X 1 1 1 0 1 X 1 0 1 0 1 1 X 1 1 X 1 X 1 X 1 X X 1 1 0 X 0 X 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 X 1 0 1 1 1 1 1 X X X X 1 1 1 1 0 1 X 1 0 1 X 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X 1 1 0 X 1 X+1 X 0 X 1 X+1 1 X+1 1 X X+1 0 1 X 1 X+1 1 X X 0 1 0 1 0 1 X 1 1 1 X X+1 X 0 X X 0 X 1 1 1 0 X 0 1 1 1 X 1 0 X+1 X+1 X 0 1 0 1 0 1 0 X+1 0 X 0 1 1 1 X+1 1 0 0 1 1 1 0 1 0 1 X+1 0 X 1 1 1 X 1 X 1 0 1 1 1 X 1 X 0 1 X 0 1 1 0 X+1 X+1 X+1 X 1 1 X 1 1 X+1 0 X+1 1 1 X+1 0 1 1 X+1 1 X+1 X+1 0 X 1 0 1 1 1 0 X X 0 0 X 0 1 X 0 X 0 1 X+1 1 X+1 0 1 X+1 1 X+1 1 X+1 X+1 0 1 0 0 0 X 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 0 0 X 0 X 0 0 0 0 X X 0 X X X 0 0 X 0 X X X X X 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X X X X X X 0 X X 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X 0 0 0 X 0 X X X 0 X X X X X 0 X 0 0 0 0 0 X X 0 0 0 X X 0 0 X X X 0 X X 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 X 0 X X 0 X X X 0 X X X X X X X X X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 X X X X X 0 X 0 X X X 0 X 0 0 X 0 0 0 X 0 X X X 0 X X 0 0 0 X 0 0 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 X X X 0 X X X X X 0 X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X X 0 X 0 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X X X X X X X X X 0 X 0 0 0 X X X 0 0 X X 0 0 X 0 X X X X 0 X X 0 0 0 0 X X 0 X 0 X X 0 0 0 X 0 0 0 X 0 0 X X 0 generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+38x^78+60x^79+98x^80+116x^81+138x^82+126x^83+111x^84+138x^85+110x^86+126x^87+115x^88+114x^89+119x^90+100x^91+85x^92+76x^93+45x^94+48x^95+56x^96+48x^97+36x^98+30x^99+25x^100+10x^101+12x^102+22x^103+17x^104+10x^105+11x^106+3x^108+3x^110+1x^112 The gray image is a linear code over GF(2) with n=176, k=11 and d=78. This code was found by Heurico 1.16 in 1.01 seconds.