The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 X 0 1 1 1 X 1 1 1 1 X 1 1 1 0 0 1 X 1 1 1 X 1 1 1 1 1 1 1 1 0 1 0 0 1 0 X 1 1 X 0 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X 1 X+1 1 1 0 1 0 0 X+1 X+1 1 1 0 X+1 X 1 X+1 1 0 1 1 0 1 X 1 1 X 1 X+1 X+1 X 1 1 0 X 1 0 X X+1 0 1 X+1 1 0 X 0 1 X X+1 0 1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X 0 0 0 X X X 0 0 0 0 X 0 X X 0 X X X 0 X 0 0 0 X X 0 X 0 0 X 0 X 0 X X 0 X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X X 0 X X 0 X 0 0 0 0 X X X 0 0 X 0 X X X X X 0 0 X X 0 0 X X X 0 X X 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 0 X X X X X 0 X X 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 X X X 0 X 0 X 0 0 X X X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X X X 0 X X X X X X X 0 0 0 0 0 X 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 X X X X 0 X X X X X 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 0 X X X X X X X X 0 0 X X 0 0 0 X 0 0 X 0 X X 0 X X X 0 0 0 X X 0 0 X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X X 0 0 0 0 X 0 X 0 X 0 X X X 0 X 0 0 0 0 X X X X 0 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X 0 X X 0 X X X X X X 0 0 X 0 X X X 0 X 0 0 X X 0 X X 0 0 0 0 0 0 X X X 0 X X X X 0 0 0 X 0 X X X X generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+53x^58+36x^59+108x^60+92x^61+161x^62+158x^63+195x^64+204x^65+213x^66+240x^67+229x^68+274x^69+201x^70+268x^71+225x^72+296x^73+211x^74+244x^75+157x^76+128x^77+109x^78+70x^79+59x^80+28x^81+47x^82+8x^83+31x^84+2x^85+23x^86+15x^88+4x^90+3x^92+2x^94+1x^96 The gray image is a linear code over GF(2) with n=140, k=12 and d=58. This code was found by Heurico 1.16 in 7.73 seconds.