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.