The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 X 1 0 1 0 1 X 1 1 1 1 0 X 1 1 1 1 0 1 X 1 X 0 1 1 1 1 1 0 1 1 1 0 0 1 X 0 X X X 1 0 1 1 1 1 1 0 X 0 1 1 0 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X+1 X+1 1 0 1 X 0 0 0 1 X X+1 X 1 1 X X X+1 X 1 X+1 X 1 0 1 0 0 X+1 0 1 1 0 0 1 0 1 X 1 1 X 0 1 X 1 X+1 X+1 X+1 X 1 X 1 1 1 X+1 1 X 0 0 1 1 1 0 1 0 1 X+1 X X 1 1 1 X X+1 0 X 1 1 1 1 X+1 0 0 0 0 1 X X+1 1 X+1 1 X 1 X+1 1 0 0 0 X X+1 X+1 X+1 X+1 0 1 1 1 0 X 0 1 1 1 X X+1 X+1 X X+1 1 X+1 1 1 0 1 X 0 X+1 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X X X X X X X X X 0 0 X X X X 0 0 0 0 X X 0 0 X 0 X X X X X 0 X 0 X 0 0 X X X X X X X 0 0 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 X 0 X 0 X X 0 X X X 0 0 X 0 0 X X 0 0 0 X X X X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X X X X X 0 0 0 X X X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 0 X 0 X X X X 0 X 0 0 0 X X 0 X 0 X 0 0 X 0 X X X 0 X 0 0 X X X 0 X 0 X X X X 0 0 X X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X X 0 X X X 0 0 X 0 X 0 X 0 X 0 X 0 0 0 0 X 0 X 0 X 0 0 0 0 X X X 0 0 X 0 X X 0 X 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X X X X X X X 0 0 X X 0 X X X 0 X X 0 0 0 X X 0 0 X X 0 X X X X 0 0 X X 0 X X X 0 X X X X X X 0 X 0 X 0 0 X X 0 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+48x^61+106x^62+114x^63+114x^64+128x^65+154x^66+140x^67+102x^68+104x^69+168x^70+122x^71+78x^72+114x^73+102x^74+82x^75+45x^76+90x^77+74x^78+40x^79+27x^80+22x^81+30x^82+10x^83+12x^84+6x^85+4x^86+4x^87+4x^88+2x^90+1x^92 The gray image is a linear code over GF(2) with n=140, k=11 and d=61. This code was found by Heurico 1.16 in 51.1 seconds.