The generator matrix

1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 X X X 1 1 1 1 X 1 1 X 1 1 X X X X X 0 0 X 0 0 1 1 X 1 0 1 X 1 0 1 1 X 1 X 1 0 1 X 1 1 0 0 1 1 1 X X 1 1
0 1 0 0 0 0 0 X 1 1 1 1 1 1 1 0 X X 1 0 1 X X 0 0 1 X+1 X+1 1 X+1 X+1 0 1 1 X 0 1 1 X 1 1 X+1 1 1 X+1 1 X X X X 1 0 1 1 1 X+1 1 X X X 0 X 0 0 0 X 1 X 0 0
0 0 1 0 1 X X+1 1 0 X+1 1 X 1 X X+1 1 0 1 0 0 X X+1 X 1 0 1 1 0 X+1 X X+1 1 0 X+1 1 1 0 1 1 X X+1 0 X X+1 0 1 X+1 X X+1 0 X+1 X X 1 0 1 X 0 1 X 1 1 X 0 1 0 X X X 1
0 0 0 1 X 1 X+1 1 X+1 0 1 X X 1 X+1 X+1 1 0 X 1 1 X X+1 X+1 X X X X+1 1 0 1 X X+1 0 1 1 1 0 X+1 X+1 X X X+1 X+1 1 X+1 X+1 1 1 1 X+1 1 X+1 0 0 0 0 0 0 0 X 0 X 1 0 X 1 0 0 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+25x^66+52x^67+45x^68+20x^69+20x^70+38x^71+9x^72+8x^73+12x^74+2x^75+3x^76+2x^78+2x^79+2x^80+3x^82+2x^83+2x^84+4x^85+2x^86+2x^92

The gray image is a linear code over GF(2) with n=140, k=8 and d=66.
This code was found by Heurico 1.10 in 0 seconds.