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 1 0 1 1 1 0 0 0 1 0 1 X 0 0 0 0 0 1 1 X 1 X 1 1 1 0 X 1 1 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 X+1 1 X X X+1 X 1 0 1 1 X 1 1 1 X 1 1 1 X X 0 0 X X+1 1 1 X 1 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 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X X+1 1 1 1 1 1 0 X X+1 1 X X X X X 0 1 0 X X 1 1 1 0 1 1 1 X+1 X X+1 1 X X+1 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 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 1 0 X+1 X X 1 0 1 X 0 0 X X 1 X+1 X+1 1 X+1 X 1 0 0 X X X X 0 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 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 0 1 X 1 1 X 1 1 1 X+1 0 1 1 X+1 X 1 X+1 X+1 1 0 X 1 X X+1 X+1 1 X 0 0 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 X X X 0 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X X 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 0 0 X X X 0 0 X X 0 0 X X 0 0 X 0 X 0 0 X 0 X 0 0 X X X X X 0 0 X 0 X 0 X 0 X 0 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 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X 0 0 0 0 X X X X X 0 0 X X X X X 0 X X X 0 0 X 0 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 0 0 X X X 0 0 X X 0 X 0 X X 0 X 0 0 X 0 0 0 X X X X 0 X 0 0 X X X 0 0 0 X X 0 0 0 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 0 X 0 X X X 0 0 X X X 0 X 0 X X 0 X X X X X 0 0 X 0 0 X X 0 X 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 generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+35x^40+126x^42+214x^44+441x^46+638x^48+901x^50+1129x^52+1237x^54+1071x^56+913x^58+732x^60+399x^62+2x^63+219x^64+80x^65+59x^66+162x^67+53x^68+396x^69+19x^70+776x^71+4x^72+1312x^73+1x^74+1780x^75+2328x^77+2622x^79+2366x^81+1930x^83+1254x^85+748x^87+15x^88+396x^89+43x^90+160x^91+102x^92+52x^93+223x^94+12x^95+382x^96+6x^97+688x^98+941x^100+2x^101+1093x^102+1178x^104+1176x^106+966x^108+599x^110+391x^112+232x^114+101x^116+35x^118+17x^120+5x^122+2x^124+2x^126+1x^128 The gray image is a linear code over GF(2) with n=158, k=15 and d=40. This code was found by Heurico 1.16 in 99.4 seconds.