The generator matrix
1 0 0 0 1 1 1 1 0 1 X 1 X 1 X X X 1 X 1 X 1 0 1 1 1 1 X 1 0 X 0 1 1 1 1 X X 0 1 1 1 1 1 1 X 0 1 1 1 1 1 X 1 X 1 1 X X 1 1 1 1 1 X 1 1 1 1 1 1
0 1 0 0 0 1 1 X 1 X+1 1 1 1 X 0 1 1 1 0 X+1 1 X+1 1 0 X 1 X X X X 1 X 0 0 X+1 X 1 X 0 X X X+1 1 0 1 0 1 0 X X+1 0 X 0 X X X+1 1 1 X 0 1 1 0 X 1 X 0 1 X X+1 0
0 0 1 0 1 1 0 0 X+1 0 X X+1 1 1 1 X X+1 X 1 X+1 X+1 0 X 1 X X+1 X+1 1 X 1 1 1 0 X+1 1 X+1 X+1 0 1 0 X X+1 X+1 1 X+1 X 1 1 1 1 1 0 1 0 X 1 X+1 X+1 1 1 X+1 0 X+1 0 X 0 X X+1 X+1 1 0
0 0 0 1 1 0 1 1 1 X 1 X+1 0 X 1 X+1 1 X+1 0 X X 0 X X 1 X+1 X+1 X+1 X 1 X+1 0 0 0 X+1 0 0 1 0 X X+1 X 0 X+1 0 1 X+1 1 0 1 X+1 X+1 1 X 1 0 0 X 1 1 X X X+1 X+1 1 X+1 X+1 1 0 1 0
0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X X X X X X 0 0 X X X X X 0 X 0 0 X 0 X X 0 0 0 X X 0 X 0 X X 0 0 0
0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 X X 0 0 X 0 X X 0 0 0 X 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 X X 0 0 0 0 X 0 0 X X X 0 X 0 0 X X 0 X X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X X 0 0 0 X X X X X X 0 0 0 0 X 0 X X 0 X 0 X X 0 X 0 0 X X 0 0 X 0 X X X 0 X 0 0 0 X 0 X 0 0 X X X 0 X 0 X X X 0 0 X
generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.
Homogenous weight enumerator: w(x)=1x^0+53x^62+76x^63+129x^64+154x^65+134x^66+132x^67+130x^68+140x^69+131x^70+124x^71+87x^72+94x^73+83x^74+88x^75+85x^76+82x^77+62x^78+68x^79+56x^80+32x^81+38x^82+20x^83+16x^84+10x^85+9x^86+4x^87+7x^88+1x^90+1x^92+1x^94
The gray image is a linear code over GF(2) with n=142, k=11 and d=62.
This code was found by Heurico 1.16 in 0.661 seconds.