The generator matrix 1 0 0 0 1 1 1 X 1 1 X X 1 1 0 1 0 1 1 1 1 1 1 1 X 0 X 0 1 0 0 X 1 1 1 X 1 1 1 1 X 0 1 1 0 1 0 1 0 1 1 X X 0 0 1 X 1 0 0 0 X 1 X 0 1 0 1 X 1 1 0 1 0 0 0 0 0 X 1 X+1 1 1 X+1 X+1 1 0 X 1 0 1 X 1 X+1 X 1 1 1 1 0 1 0 X X+1 X X X X+1 X+1 X 1 1 0 X 1 1 1 X X 0 0 X 0 1 1 1 X 0 X X 1 1 1 1 X 0 0 0 X+1 1 0 X 0 0 1 0 0 1 X+1 1 X+1 1 X 1 0 X X+1 X 1 1 X+1 X 1 X+1 0 X 1 X X+1 0 X 0 1 1 X X+1 1 1 0 1 X+1 X+1 1 1 X X+1 0 X+1 1 1 1 1 X 1 1 1 X 1 X X 1 0 X 1 0 1 1 0 1 X+1 X 1 X+1 0 0 0 1 1 1 0 1 X X+1 X+1 0 0 1 1 0 0 X X 1 X+1 X+1 0 X+1 X 0 X+1 X+1 X X X+1 X X+1 0 X+1 0 X 1 1 X 1 X X+1 0 X 1 X+1 0 X+1 0 1 1 X 0 0 0 1 0 1 1 1 1 1 X 1 X+1 X 0 0 X X 0 0 0 0 X 0 0 X 0 0 0 X X X X X X X X 0 X X 0 0 0 0 0 0 X X X X 0 0 0 0 0 X X 0 X 0 X X X X 0 X 0 0 0 0 X 0 X X X X X X X 0 0 0 X X 0 X 0 X X 0 0 0 0 0 X X X X X 0 X 0 0 X 0 X 0 0 X 0 0 X X X X X X X 0 0 0 0 0 0 X 0 X X 0 0 X X X X 0 X 0 0 0 0 X X 0 0 X 0 0 0 X X 0 0 0 X X 0 0 0 X X generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+41x^64+82x^65+86x^66+108x^67+110x^68+90x^69+65x^70+60x^71+53x^72+44x^73+46x^74+44x^75+25x^76+18x^77+32x^78+18x^79+17x^80+14x^81+16x^82+20x^83+5x^84+8x^85+7x^86+6x^87+4x^88+4x^90 The gray image is a linear code over GF(2) with n=142, k=10 and d=64. This code was found by Heurico 1.16 in 0.206 seconds.