The generator matrix

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

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+176x^62+274x^64+286x^66+280x^68+228x^70+212x^72+164x^74+148x^76+114x^78+83x^80+44x^82+20x^84+10x^86+6x^88+2x^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 0.658 seconds.