The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 X 0 1 X X 1 X X 1 X X 1 1 1 1 0 1 1 1 X 0 0 1 1 0 1 X X 1 0 X 1 1 0 1 0 1 1 X 0 0 X 0 1 1 1 1 0 X X 0 1 X 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 1 0 0 1 1 1 X X+1 X 0 X 1 X 1 X+1 1 1 1 X+1 X+1 1 X 1 X 0 X 1 1 1 1 X+1 1 X X X 1 1 1 1 X X X 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 1 0 X+1 1 X+1 0 1 X 0 X+1 1 X X+1 1 X X X 1 1 X 0 X+1 X 1 1 X X 1 X+1 1 1 1 X X+1 1 X X+1 0 1 0 0 1 0 X X+1 1 X+1 1 X+1 1 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 0 0 X X X 0 X X 0 X 0 X X 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X 0 0 0 X 0 0 0 X 0 X X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X X X X X 0 0 0 0 X X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 0 X X X X X 0 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X 0 X 0 X X X X X X X X X X X 0 X X X X 0 X 0 0 X X 0 X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 0 X 0 X X X X X 0 X 0 0 X X 0 X 0 X X X X 0 X X 0 0 X X 0 0 X 0 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X 0 0 0 0 X X 0 0 0 0 X X X 0 X 0 X 0 X X 0 X 0 X 0 0 X X X X 0 0 0 X X X 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X X X X 0 0 0 0 X X 0 X X X 0 0 X X X X X X X 0 X X X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X X 0 0 0 X 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X X X X 0 X X 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+30x^57+91x^58+110x^59+212x^60+202x^61+249x^62+262x^63+365x^64+406x^65+447x^66+520x^67+450x^68+516x^69+498x^70+546x^71+484x^72+482x^73+453x^74+406x^75+335x^76+314x^77+207x^78+162x^79+147x^80+90x^81+74x^82+36x^83+40x^84+8x^85+20x^86+6x^87+10x^88+6x^90+3x^92+2x^94+1x^96+1x^98 The gray image is a linear code over GF(2) with n=140, k=13 and d=57. This code was found by Heurico 1.16 in 39.5 seconds.