The generator matrix

 1  0  0  0  0  1  1  1  1  0  X  1  X  1  1  0  1  1  X  1  0  1  1  1  X  0  X  X  1  0  X  1  1  1  X  0  X  0  0  0  1  1  1  1  1  1  X  1  1  0  1  1  0  0  0  X  1  1  0  1  1  X  X  1  1  1  X  1  1  1  1
 0  1  0  0  0  0  0  0  X  0  0  X  X  1 X+1  1 X+1  1  0 X+1  1  1 X+1  1  1  1  1  1  X  0  1  1  X  1  1  1  1  X  0  X  1  1  0 X+1  0  1  1  X  X  1  0  0  0  X  1  0  X  1  1 X+1  0  X  1 X+1  X  X  1  X  X X+1  0
 0  0  1  0  0  0  0  1  1  1  X X+1  1  1  X  X X+1  X  1  X X+1  1  0 X+1  X X+1  1  0  0  1  1  0  0  1 X+1 X+1  0  0  0  1  1 X+1 X+1  1  1  X X+1  1  X  X  1 X+1  1  X  1  1 X+1  0  1 X+1  X  X  1  X  0  0  1 X+1  1  0  0
 0  0  0  1  0  1  X  X  0  X  1 X+1  1  0  0 X+1  1 X+1  1  X X+1 X+1 X+1  0 X+1  1  X  X X+1  1  1  X  0  1  X X+1  1  1  X  0  0  1  0  0  1 X+1  X  1  1  X  1  0 X+1  1  X X+1 X+1  0  1  1 X+1  0 X+1 X+1  0  1  1  1 X+1  1  0
 0  0  0  0  1  1  1 X+1  0  1 X+1  X  1  X X+1  0  1  X  0  0  1  0  1  1 X+1  X  0 X+1  0  1  1  X X+1  X  1  0  X  X  1 X+1  0 X+1  1  1 X+1 X+1 X+1 X+1  0 X+1  X  X X+1  0  X X+1  X  X X+1  1 X+1  1  X  X  0  0  X  X X+1 X+1  0
 0  0  0  0  0  X  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  X  X  X  X  X  X  X  X  X  X  X  X  0  0  X  0  0  X  X  0  X  0  X  X  0  X  0  0  X  0  0  X  0  X  X  X  0

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+32x^62+90x^63+114x^64+158x^65+149x^66+134x^67+130x^68+138x^69+128x^70+112x^71+129x^72+98x^73+95x^74+84x^75+87x^76+62x^77+59x^78+54x^79+32x^80+42x^81+38x^82+34x^83+11x^84+6x^85+9x^86+8x^88+6x^89+2x^90+4x^91+2x^93

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 0.66 seconds.