The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+52x^67+41x^68+46x^69+53x^70+8x^71+13x^72+6x^73+15x^74+6x^77+1x^78+2x^81+1x^82+4x^83+1x^84+4x^85+2x^86

The gray image is a linear code over GF(2) with n=140, k=8 and d=67.
This code was found by Heurico 1.16 in 7.4 seconds.