The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 X 0 1 X 0 1 1 1 0 1 X 0 1 1 1 1 0 1 0 X 1 1 1 1 1 1 0 1 1 1 0 X 1 1 X 1 1 1 X 1 1 0 1 X X 1 1 X 0 1 X 0 X X 1 X X 1 1 1 0 X 1 0 1 1 1 1 0 1 1 1 0 X 1 1 1 1 1 X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 1 X X X+1 0 1 1 1 0 1 X+1 0 1 0 1 1 0 0 X 1 X X 1 1 1 1 X 1 0 0 0 1 X+1 X+1 1 1 X 1 1 1 0 1 0 X 1 0 1 X 1 1 1 X 1 X X 1 1 X X 1 X 1 1 0 1 X+1 0 0 0 0 X+1 0 X+1 X+1 X 1 X 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 1 0 X+1 1 0 X+1 X 1 1 0 X+1 1 X+1 X+1 X+1 0 0 X 0 X X X X+1 X 0 1 1 X 0 1 1 X X+1 1 1 X X 0 0 1 1 X 0 X 1 1 1 1 X+1 X X+1 1 1 1 X+1 1 1 X+1 X 0 1 1 0 0 0 X+1 X 1 1 0 X+1 1 1 1 X 1 1 X X 0 1 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X 0 X X 0 0 0 0 X 0 X 0 0 X X X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 X X X 0 0 X 0 0 0 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X X X 0 X X X 0 X 0 0 0 X X 0 X 0 0 X 0 X X 0 0 X X 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X X X 0 0 X 0 X 0 0 0 X 0 0 X X 0 X X X X 0 0 X 0 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X X X 0 X X X X 0 X X X 0 0 X 0 0 0 X X X 0 X 0 X X 0 X 0 X 0 X X X X 0 0 0 X X 0 0 X 0 X X X X X X 0 0 X 0 0 0 X 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 0 0 X 0 X 0 0 X 0 X X X X X 0 X X X 0 X X X X X X 0 X X X 0 X 0 X X X 0 0 0 X X X X X 0 0 0 0 X X X 0 X X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X 0 X 0 0 X X 0 X 0 X X 0 X 0 0 0 X X 0 X 0 0 0 X 0 0 X 0 X X X 0 X X 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 X X 0 X 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X X 0 0 X X 0 X X X X 0 0 X 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 0 X X X 0 X 0 0 0 X X X 0 0 0 X X 0 0 X X 0 0 X X X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 0 0 X X X 0 0 0 0 0 X X X 0 X X 0 0 0 0 X X 0 0 X X X 0 X X X 0 0 0 X X X X 0 0 X X 0 0 X X X X X X 0 0 0 0 X X 0 0 X 0 0 X X 0 0 X 0 0 0 generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+82x^84+68x^85+130x^86+146x^87+279x^88+234x^89+283x^90+362x^91+361x^92+384x^93+385x^94+474x^95+372x^96+400x^97+449x^98+412x^99+367x^100+448x^101+344x^102+398x^103+326x^104+338x^105+237x^106+186x^107+155x^108+136x^109+144x^110+54x^111+70x^112+36x^113+47x^114+16x^115+23x^116+4x^117+18x^118+7x^120+8x^122+4x^124+3x^126+1x^128 The gray image is a linear code over GF(2) with n=196, k=13 and d=84. This code was found by Heurico 1.16 in 19 seconds.