The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 X 1 1 0 0 1 0 X 1 0 1 X X 1 0 1 X 1 1 1 1 1 1 1 1 1 0 1 X 1 1 1 0 1 X 1 1 1 0 1 0 0 0 X X 1 X 1 X 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X 1 X X X+1 0 X+1 1 1 X X+1 1 1 X 1 0 X 1 1 0 1 1 X X 1 1 0 1 1 0 0 0 X 1 X+1 X 0 0 X+1 X+1 0 X 0 1 0 1 X 0 1 1 X+1 1 X X X+1 1 X+1 1 0 1 1 1 X 1 X 1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 0 1 1 X 1 1 X+1 0 X X 1 X+1 0 X X 0 1 X 1 1 1 X+1 0 X+1 1 0 0 1 0 X+1 1 X 1 X X+1 0 0 X X X X+1 1 1 X 1 1 X X X+1 X X X+1 1 X 1 X+1 1 1 X 1 X X+1 X+1 0 0 0 X+1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X 0 0 0 X X 0 X X 0 X X X 0 X 0 0 X 0 X X 0 0 X X 0 0 X X 0 X 0 0 X X 0 0 X 0 0 X X X X 0 X X 0 0 X X X 0 0 X X X 0 X X X 0 0 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 X X 0 X X 0 X X 0 X X 0 0 X 0 X X X X 0 X 0 X X 0 X X X X X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X 0 X 0 0 0 X 0 X 0 X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 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 0 0 X X X X 0 X 0 0 X X 0 X X 0 0 X X 0 0 X X X 0 0 X 0 X X 0 0 X X 0 X 0 X X X X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X X X X 0 X 0 X X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X 0 X X 0 0 X 0 0 X X X X X 0 0 0 X X X 0 X 0 X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X X 0 0 X X 0 0 X X 0 0 X X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X X X X 0 0 X X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 0 X 0 X 0 0 0 X 0 X X 0 0 0 X X 0 0 X 0 0 X X X X 0 X X 0 X 0 0 0 X 0 0 0 X X X X 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X X X 0 0 0 0 X X X 0 0 0 0 X 0 0 0 0 X X X 0 0 0 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 0 X X X 0 X X X 0 X 0 0 0 X 0 X X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 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 X X X X X X X X X X X X X X X X X X X X X X X 0 X 0 X X X X X X X 0 0 X 0 X X X 0 0 0 0 0 X X X 0 X generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+67x^78+48x^79+176x^80+128x^81+287x^82+266x^83+467x^84+448x^85+557x^86+556x^87+625x^88+748x^89+744x^90+920x^91+813x^92+952x^93+843x^94+992x^95+763x^96+912x^97+739x^98+772x^99+671x^100+640x^101+511x^102+412x^103+366x^104+220x^105+217x^106+120x^107+145x^108+40x^109+94x^110+8x^111+48x^112+8x^113+26x^114+2x^115+14x^116+8x^118+5x^120+3x^122+2x^124 The gray image is a linear code over GF(2) with n=188, k=14 and d=78. This code was found by Heurico 1.16 in 63.8 seconds.