The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+246x^64+372x^68+192x^72+110x^76+59x^80+36x^84+6x^88+2x^92

The gray image is a linear code over GF(2) with n=140, k=10 and d=64.
This code was found by Heurico 1.10 in 0.625 seconds.