The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 1 X 0 0 1 0 X 1 1 1 1 1 0 0 0 0 1 1 1 X 0 X 1 1 X 1 0 0 0 0 X X 0 0 0 0 1 X 1 X 0 1 1 1 X 0 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X 0 X 1 1 X+1 X 0 0 X+1 X 1 1 1 0 1 0 1 X 1 1 1 1 1 X+1 X X+1 0 1 0 1 0 1 1 0 X X 1 X X+1 0 0 X X 1 1 X 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 0 1 X X+1 0 X 1 X X+1 0 X+1 0 X+1 1 X+1 0 0 X+1 X 0 1 X+1 X 1 1 X 0 1 1 0 1 X 1 1 1 1 X 1 X 0 0 0 X X 0 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 X+1 0 0 X 0 1 X+1 X X+1 X 0 X+1 X+1 1 X 1 X 1 X X+1 X+1 1 X 0 X+1 1 1 0 X 1 X X X X X+1 X+1 X 0 X+1 1 1 X+1 0 0 0 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X 0 X 0 0 X X 0 0 X X 0 0 X 0 0 0 X 0 X X X 0 0 X 0 0 X 0 X 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 X X 0 X 0 0 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 X 0 0 X 0 X X X 0 X X 0 0 X 0 0 X 0 0 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 X X X X X X X X X X X X X X X X X X X X 0 X X X 0 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X X 0 X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X 0 X 0 0 X 0 0 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 0 0 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X X 0 X 0 0 X 0 0 0 0 X X 0 X X X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 X 0 X X 0 X 0 X X 0 0 X X X X 0 0 0 X 0 0 0 X 0 0 X X X X X 0 X 0 X 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+89x^56+70x^57+185x^58+246x^59+412x^60+386x^61+534x^62+598x^63+579x^64+830x^65+837x^66+896x^67+946x^68+968x^69+965x^70+1092x^71+1043x^72+1068x^73+873x^74+806x^75+610x^76+578x^77+472x^78+382x^79+332x^80+174x^81+173x^82+68x^83+78x^84+20x^85+42x^86+8x^87+3x^88+2x^89+10x^90+2x^92+2x^94+2x^98+1x^102+1x^104 The gray image is a linear code over GF(2) with n=140, k=14 and d=56. This code was found by Heurico 1.16 in 40.8 seconds.