The generator matrix 1 0 0 0 0 0 0 0 1 1 1 X 1 1 1 1 X X 1 0 1 0 0 X 1 1 1 X 1 0 1 X 0 1 1 X X 0 0 0 X 1 1 1 X 1 X 0 X 1 1 X 1 0 1 X 1 0 1 1 1 0 1 1 X 1 1 0 1 1 0 1 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 1 1 1 1 1 X+1 1 1 1 X+1 1 1 1 X+1 X+1 1 1 1 X 1 X 1 X+1 X+1 X 1 X+1 X 1 1 1 X 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X X X X 1 1 X+1 1 1 1 1 X+1 1 0 1 1 X+1 X X 1 1 0 1 X+1 X+1 X 1 X X X+1 1 X+1 0 X+1 1 1 1 X X+1 0 X+1 X 0 1 X+1 X 1 X X+1 X X+1 1 X+1 X 1 0 0 0 0 1 0 0 0 0 0 1 X 1 0 X+1 1 1 1 1 X+1 1 X X X+1 X+1 0 X 1 0 X 1 0 0 1 X+1 X+1 X 0 0 1 X X X X+1 X X+1 X+1 X X X 0 X+1 X X+1 0 0 0 X+1 X+1 0 0 X X 1 1 0 0 X+1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 X 0 1 X+1 0 1 0 X X X+1 1 1 X+1 X X X X+1 0 X+1 1 0 X X+1 0 1 1 0 X 1 X+1 X X 1 X+1 X+1 0 X 0 X X+1 X+1 X 0 X 0 0 X X+1 1 0 0 X X 1 X X+1 0 0 0 0 0 0 0 1 0 0 1 X 0 X+1 1 X+1 0 1 1 X 0 1 X 1 0 X+1 X 0 X 1 X+1 0 X+1 0 X+1 1 X+1 1 X X+1 X 0 0 X X+1 X+1 0 0 X+1 0 1 X 0 0 X+1 1 0 1 X X+1 1 X X 1 1 X 0 1 0 0 X 0 0 0 0 0 0 0 1 0 1 X+1 X+1 1 X+1 X 0 0 1 X+1 0 X X+1 X+1 X 0 0 X+1 X 1 0 X+1 0 X+1 0 X 0 X+1 X+1 X+1 X X+1 0 X 0 X X X+1 X 0 1 1 0 1 X+1 X+1 0 X+1 X 0 1 0 1 0 X X+1 X 0 X+1 X 1 0 0 0 0 0 0 0 0 1 X X 1 1 1 X+1 X+1 0 X 0 X 0 X+1 1 X X+1 X+1 0 X+1 X+1 X X+1 X+1 0 X X+1 0 X X+1 0 1 1 0 0 0 0 X+1 1 0 0 0 X X+1 X 0 X+1 X+1 X 1 0 X X+1 X+1 1 0 1 X 1 X+1 X X 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+104x^54+128x^55+371x^56+512x^57+850x^58+860x^59+1178x^60+1450x^61+1909x^62+2198x^63+2480x^64+2872x^65+3432x^66+3882x^67+3874x^68+4468x^69+4093x^70+4358x^71+4005x^72+3910x^73+3561x^74+3154x^75+2778x^76+2226x^77+1865x^78+1378x^79+1097x^80+772x^81+665x^82+350x^83+294x^84+144x^85+139x^86+66x^87+44x^88+30x^89+17x^90+10x^91+4x^92+2x^94+2x^96+3x^98 The gray image is a linear code over GF(2) with n=140, k=16 and d=54. This code was found by Heurico 1.11 in 224 seconds.