The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 1 1 0 X X 0 1 1 0 X 1 0 X 1 0 X 1 X X 1 1 1 1 1 1 X 0 X 0 1 1 0 1 X 1 1 X 1 1 1 X 1 0 0 1 X 1 1 0 1 1 X 0 1 1 X 1 1 1 1 1 X X 0 0 X X X X 1 1 1 1 X 1 1 1 1 0 0 1 X 1 0 1 0 0 0 0 0 0 0 0 0 1 1 X+1 1 1 1 1 1 1 1 0 1 X X+1 X 0 1 0 X X 1 1 X 1 X 0 0 1 0 X 1 1 1 X+1 0 X+1 X X X 1 0 1 0 X 1 1 1 1 1 0 0 1 X+1 X+1 X 1 1 X X 0 X X X 1 0 0 0 1 0 0 0 1 X+1 0 X X+1 1 X+1 1 X X+1 1 0 X 1 X 0 0 1 0 0 0 0 0 0 0 0 0 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 1 1 X+1 X+1 X+1 X+1 1 1 X+1 X+1 1 X+1 1 1 1 X+1 X+1 1 1 X X+1 1 1 1 X+1 1 1 1 1 X 1 1 1 X 1 1 X+1 1 X 1 X+1 X X+1 X 1 X+1 X 1 X+1 0 0 0 0 1 0 0 0 0 0 0 0 X 0 X 0 X 0 X 1 X+1 X+1 1 X+1 1 1 1 X 1 1 1 X 1 X+1 X+1 X+1 X+1 1 1 0 0 1 0 X+1 0 X+1 0 X+1 1 1 X X+1 1 1 1 0 X+1 1 X+1 X X 0 X+1 X X X+1 0 X 1 X X+1 1 1 0 X 1 X+1 1 1 X+1 X+1 1 X X+1 X X+1 X X 0 1 X 0 0 X+1 1 0 X X+1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 X X+1 X 1 0 1 X X+1 X X+1 1 X X X X 1 X+1 1 0 0 1 0 X+1 0 0 1 X X 0 X+1 1 1 0 X+1 X 0 X+1 X+1 X+1 0 0 0 0 1 1 0 X+1 X X+1 X 0 0 X 1 X X+1 1 0 0 0 1 X 1 1 1 1 X+1 0 X X X+1 X+1 X+1 X+1 X+1 X+1 X X 0 1 X+1 X X+1 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 0 X+1 X+1 X 1 0 0 X X 0 1 1 1 X 0 1 1 1 1 1 0 X X+1 1 X+1 X 1 X+1 0 X 1 X+1 X+1 X+1 X+1 X 0 X+1 0 1 1 X+1 X X+1 0 1 1 0 1 X 0 X X X+1 X+1 1 X 0 X X+1 1 X+1 X+1 0 X+1 X 0 X X X+1 1 0 1 0 0 X+1 1 X X 1 1 X 1 0 0 0 0 0 0 1 1 X+1 X 1 0 X 0 1 1 1 1 0 X 0 X X+1 1 0 1 0 X X X 0 1 0 0 1 X+1 1 X 0 0 1 X+1 X+1 0 0 X+1 X+1 0 X X X X+1 1 X 0 X+1 X+1 X+1 0 X+1 X 1 0 1 0 1 0 X X+1 1 X X+1 1 X X+1 X 1 1 1 0 1 X+1 X+1 0 0 X+1 0 0 X X 1 0 0 1 X X X+1 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X X X X 0 X X X 0 X 0 0 X X X 0 X 0 X X 0 X X X 0 0 X X X X X 0 X 0 0 X 0 X 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 X 0 X 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+92x^81+215x^82+314x^83+386x^84+554x^85+763x^86+770x^87+945x^88+1106x^89+1135x^90+1306x^91+1418x^92+1540x^93+1611x^94+1650x^95+1714x^96+1616x^97+1697x^98+1740x^99+1624x^100+1644x^101+1489x^102+1356x^103+1251x^104+1024x^105+899x^106+774x^107+606x^108+456x^109+309x^110+238x^111+202x^112+144x^113+61x^114+42x^115+38x^116+14x^117+12x^118+2x^119+6x^120+2x^121+1x^128+1x^162 The gray image is a linear code over GF(2) with n=194, k=15 and d=81. This code was found by Heurico 1.11 in 88.8 seconds.