The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 1 1 X 0 0 1 X 1 1 1 1 0 0 X 1 X 1 X X 0 X 1 X X 1 1 0 X 1 1 0 0 1 1 1 1 X X X 1 X 0 X 1 1 1 0 X 1 1 X 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 X+1 1 1 1 1 X 0 X X+1 X+1 X X 1 1 1 1 1 X 0 0 X 1 1 X X+1 1 0 0 1 X 1 0 X+1 X+1 X X 1 1 X+1 1 1 X X 0 X+1 1 1 X+1 X 1 X+1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X 1 X+1 0 0 X+1 X+1 X X+1 1 X 1 1 X X 0 0 1 0 1 X+1 1 1 X 0 1 1 X+1 1 0 0 1 X+1 1 0 X X 0 X+1 1 0 X X+1 X+1 X 1 X X+1 1 X 0 1 X+1 X X 0 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X X+1 X+1 0 1 X+1 X X 0 0 X+1 X 1 X X+1 X+1 0 X X 1 0 X X+1 1 X+1 1 0 1 X X X X 1 1 1 X+1 0 0 X X+1 1 1 X+1 0 1 1 X+1 X X+1 X+1 0 X 1 X+1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 0 X+1 X+1 X+1 1 X X X 1 X+1 0 X+1 0 X 1 0 X+1 0 X+1 1 X 1 X+1 1 0 1 0 0 0 0 X 0 1 X X X X+1 X 1 X X X 1 1 X X+1 1 X X X+1 X+1 X X+1 X+1 0 X+1 X+1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 X+1 X 1 X+1 0 1 X X X X 0 0 X+1 1 0 1 1 X 1 1 X+1 0 X+1 1 0 X+1 X+1 X X X+1 X+1 X 0 X+1 X 0 X X+1 X+1 1 X X 0 X+1 1 1 0 0 X+1 0 X X+1 X+1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 X 0 0 X X X X X 0 X X 0 0 X 0 X X 0 X X 0 X 0 0 X X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X 0 X X X 0 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 X X 0 X 0 0 0 X 0 0 0 X X X 0 0 generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+80x^59+187x^60+280x^61+404x^62+412x^63+527x^64+720x^65+741x^66+732x^67+803x^68+912x^69+885x^70+916x^71+1048x^72+1092x^73+959x^74+806x^75+814x^76+840x^77+754x^78+644x^79+556x^80+392x^81+287x^82+216x^83+139x^84+112x^85+61x^86+28x^87+20x^88+4x^89+5x^90+6x^91+1x^124 The gray image is a linear code over GF(2) with n=144, k=14 and d=59. This code was found by Heurico 1.16 in 82.1 seconds.