The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 0 1 0 X 1 0 1 1 X 0 X 1 1 1 1 1 0 X 0 1 1 1 1 0 1 X X X 1 X 0 1 1 1 X 0 1 X 1 X 1 X 0 0 1 1 0 X 1 1 X 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 X+1 1 X 1 1 0 X+1 X 1 1 0 0 X X+1 1 1 1 X 0 X 1 1 1 0 X 1 0 0 1 1 1 X+1 0 0 1 0 1 0 1 X X X 1 X 1 0 1 1 X+1 1 0 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 X+1 1 1 1 X 1 0 1 0 1 1 X 0 X+1 X 0 1 1 0 X+1 X 0 X+1 0 0 X+1 0 0 0 X+1 0 X X+1 X X 1 1 0 1 X 1 1 X 1 0 1 0 0 0 X+1 0 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 X 0 1 X X+1 0 X+1 X+1 0 X X 1 0 X+1 0 1 X 0 1 0 X X+1 X 1 X 1 1 0 1 X+1 1 X 1 0 0 1 X+1 X 1 X+1 X 1 X+1 X+1 1 1 X X 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 X X X X X X X X X X 0 X X X X 0 X 0 0 X X X 0 X X 0 0 X 0 0 X 0 X X X 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X X 0 0 X X 0 0 X X 0 X 0 X X X 0 X X X 0 X X 0 X X 0 X 0 X 0 X X X X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X X X X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 0 0 X X X 0 0 X X X X X 0 0 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 0 0 0 X X 0 X X 0 0 0 X X 0 0 0 X 0 X 0 0 0 0 X X X 0 X X 0 0 X X X X X X 0 0 X 0 X 0 0 X X 0 0 X generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+28x^58+66x^59+126x^60+170x^61+187x^62+216x^63+250x^64+256x^65+223x^66+270x^67+220x^68+220x^69+270x^70+204x^71+221x^72+214x^73+181x^74+168x^75+144x^76+112x^77+101x^78+82x^79+52x^80+50x^81+31x^82+16x^83+6x^84+2x^85+2x^86+2x^87+3x^88+1x^90+1x^96 The gray image is a linear code over GF(2) with n=138, k=12 and d=58. This code was found by Heurico 1.16 in 2.49 seconds.