The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 X 0 X X X 0 1 1 0 X 1 1 0 0 1 1 0 0 X 1 1 X X 0 X 1 1 X X X 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 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 X 0 X X 0 X 1 X X+1 X X X 0 0 X+1 1 0 1 X X+1 X+1 0 1 1 1 0 1 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 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X X+1 1 1 1 1 X+1 X 1 0 1 X+1 X+1 X+1 1 1 X+1 0 0 X 1 X X X X X X+1 1 X 1 1 X+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 1 0 1 1 1 0 0 0 1 1 0 0 X+1 X+1 0 X+1 X+1 X+1 X+1 X X+1 X+1 1 1 1 X X 0 0 X 1 0 1 1 X 0 1 X 1 0 X 1 0 X+1 1 X X 0 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 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 X X X X+1 1 X+1 0 0 1 X X 0 1 X X X X+1 0 1 X+1 0 0 0 1 X+1 X X+1 X 1 X 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 X 0 0 0 0 0 X 0 X X 0 X 0 X X X 0 X 0 X X X X 0 0 X X X X 0 0 0 X X 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 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 X X X X 0 0 X 0 0 0 0 0 0 X 0 X 0 0 0 X 0 X X 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 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 0 0 X 0 X X 0 X 0 0 0 X X 0 0 0 X X 0 0 0 X X 0 0 X X 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 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 X X 0 0 X X 0 X X X X X X 0 0 0 X 0 X X X X X 0 X 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 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X 0 X 0 0 X 0 0 X 0 0 0 0 X X X 0 X 0 X X X X 0 X X 0 0 0 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 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+15x^40+24x^41+74x^42+60x^43+134x^44+146x^45+204x^46+260x^47+329x^48+394x^49+474x^50+532x^51+551x^52+628x^53+560x^54+646x^55+503x^56+532x^57+492x^58+420x^59+348x^60+294x^61+248x^62+194x^63+283x^64+260x^65+356x^66+386x^67+569x^68+640x^69+784x^70+958x^71+1006x^72+1196x^73+1224x^74+1312x^75+1204x^76+1110x^77+1138x^78+906x^79+840x^80+686x^81+483x^82+402x^83+387x^84+278x^85+246x^86+208x^87+256x^88+306x^89+320x^90+390x^91+466x^92+520x^93+538x^94+646x^95+580x^96+608x^97+568x^98+584x^99+444x^100+398x^101+330x^102+224x^103+214x^104+138x^105+118x^106+58x^107+54x^108+34x^109+32x^110+6x^111+5x^112+3x^114+3x^116 The gray image is a linear code over GF(2) with n=150, k=15 and d=40. This code was found by Heurico 1.16 in 99.5 seconds.