The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 X 0 X X 0 0 1 1 X 1 X 1 0 0 1 X 1 1 1 0 X 0 X 0 1 X 1 1 0 1 1 1 X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 X 0 X+1 0 0 X 1 X+1 X X 0 X 0 X 0 1 0 1 1 1 X+1 0 1 X+1 X X X+1 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 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X X+1 1 1 1 1 1 X+1 X+1 X X 0 X X 1 1 0 0 0 X+1 X X 0 1 X+1 1 1 0 X+1 0 1 X+1 X 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 1 0 1 1 1 0 0 0 1 1 0 0 X+1 X+1 0 X+1 X+1 X+1 1 X X X+1 1 X 1 0 0 1 1 1 1 X+1 X X+1 1 1 1 X+1 1 1 X+1 X+1 1 0 0 X+1 X X+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 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 0 X+1 1 1 1 X X+1 X 1 1 1 0 1 X+1 0 X+1 1 1 X 1 X X+1 X+1 X 1 X+1 X X 1 X+1 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 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 X X X X 0 X X X X 0 X X X X 0 0 X 0 X 0 0 X X X 0 0 0 0 X X 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 0 0 0 0 X X X 0 0 X X 0 0 X X 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 X 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 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X X X 0 0 X 0 0 0 X 0 X 0 X X X 0 X 0 X 0 0 0 X 0 X X X 0 0 0 X X 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 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X 0 X X X X X 0 X 0 X X X 0 0 X X X 0 X 0 0 X X 0 X 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 0 0 X 0 X X 0 X X X 0 0 X 0 X X X X X 0 X X 0 X 0 0 X X X 0 0 X X X X 0 X 0 0 X X X X X 0 X 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 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+34x^40+116x^42+279x^44+392x^46+618x^48+916x^50+1105x^52+1243x^54+1166x^56+901x^58+631x^60+394x^62+2x^63+209x^64+88x^65+114x^66+246x^67+47x^68+576x^69+19x^70+944x^71+4x^72+1596x^73+1x^74+2228x^75+2x^76+2516x^77+2516x^79+2162x^81+1654x^83+1024x^85+15x^86+520x^87+53x^88+200x^89+111x^90+80x^91+260x^92+28x^93+379x^94+2x^95+629x^96+2x^97+902x^98+1100x^100+1201x^102+1146x^104+999x^106+637x^108+370x^110+217x^112+100x^114+50x^116+18x^118+3x^120+1x^124+1x^126 The gray image is a linear code over GF(2) with n=156, k=15 and d=40. This code was found by Heurico 1.16 in 99.3 seconds.