The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 0 1 1 1 0 X X 1 X 0 X 1 0 X X 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 X 1 X 1 1 1 1 1 X 1 0 0 0 0 X 1 1 1 1 X 1 X 1 X 1 0 X 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 0 1 X+1 1 X+1 1 1 X 1 1 X 1 0 1 X+1 0 1 X 0 X 1 X+1 1 X+1 X 0 X+1 X+1 1 X+1 0 1 X X+1 1 0 1 X+1 X X+1 X X 1 1 0 0 X X+1 X 1 X+1 1 X 1 0 X X 1 X+1 0 1 0 X 1 0 X+1 0 X X 0 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 X+1 0 X+1 1 1 0 X+1 1 X 0 X+1 1 1 X+1 X X X+1 0 X+1 X X 0 X X X+1 0 1 X+1 0 0 X X X X X+1 X 1 X 0 0 1 X+1 1 0 X+1 X 0 X+1 0 X+1 1 1 X+1 1 0 1 0 0 1 1 X+1 1 0 X X 0 1 X 1 1 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X+1 X+1 0 X X+1 1 X 0 X+1 X 1 X+1 X 0 X+1 0 X+1 1 X 0 1 X 1 0 1 X+1 0 1 0 X 1 X X+1 X X X X X+1 0 0 1 0 1 1 X+1 0 0 0 X X 1 0 0 1 X X 1 X 1 1 1 X 1 X 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 1 X X+1 X+1 X+1 X+1 X X+1 X+1 X+1 X 0 0 X X X 0 X+1 1 X+1 0 0 X+1 1 X+1 0 X X+1 X X X X 1 1 X+1 1 0 0 0 0 X+1 X X+1 1 1 1 X X X+1 X 0 X+1 X X+1 1 0 X+1 X+1 X+1 0 1 X+1 X 1 1 1 0 X 1 1 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 1 1 X+1 X X X+1 0 1 X 1 X X X 1 0 1 X 1 X X+1 1 0 X 1 0 X X+1 X+1 1 X X+1 1 1 X+1 X+1 X+1 0 1 X+1 X+1 1 X+1 0 1 0 1 1 1 X+1 0 1 1 X+1 X+1 X+1 X+1 0 1 X X+1 X+1 X 0 X+1 0 0 X 0 1 1 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X X 0 X 0 0 0 X 0 0 X X 0 X X 0 X X 0 0 X X X 0 0 0 X X X 0 X 0 X 0 X X 0 0 0 X X X 0 X 0 0 X 0 0 X generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+48x^78+104x^79+183x^80+246x^81+285x^82+356x^83+352x^84+402x^85+374x^86+382x^87+434x^88+376x^89+467x^90+424x^91+402x^92+448x^93+405x^94+370x^95+288x^96+310x^97+321x^98+264x^99+210x^100+194x^101+149x^102+118x^103+94x^104+60x^105+53x^106+28x^107+20x^108+12x^109+7x^110+2x^111+2x^114+1x^118 The gray image is a linear code over GF(2) with n=182, k=13 and d=78. This code was found by Heurico 1.16 in 15.1 seconds.