The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+171x^62+279x^64+302x^66+255x^68+251x^70+183x^72+181x^74+132x^76+129x^78+88x^80+44x^82+13x^84+9x^86+9x^88+1x^90

The gray image is a linear code over GF(2) with n=140, k=11 and d=62.
This code was found by Heurico 1.16 in 1.89 seconds.