The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+33x^66+42x^67+39x^68+28x^69+15x^70+48x^71+12x^72+6x^74+3x^76+4x^77+5x^78+6x^80+4x^82+6x^83+2x^84+1x^88+1x^90

The gray image is a linear code over GF(2) with n=140, k=8 and d=66.
This code was found by Heurico 1.16 in 0.0647 seconds.