The generator matrix
1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 0 X 1 1 1 0 1 0 X X 1 0 1 1 0 X 1 X 1 1 1 1 X 0 0 X 1 X 1 1 0 X 0 X 1 0 0 0 1 1 1 1 1 X 1 1 1 X X X 1 1 1 X 1
0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 1 1 X 1 X 0 0 1 1 X+1 0 X+1 0 1 X 0 1 X+1 0 X X 1 0 X 1 X X X X+1 1 0 1 X 1 0 1 1 X X+1 1 X+1 X+1 1 X+1 X+1 1 1 1 1 X+1 X X 1 1
0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 0 X 0 X+1 X+1 1 0 1 1 0 1 1 X+1 1 1 1 X 0 X 0 1 X+1 1 X 1 X 0 X 1 X+1 1 1 X+1 1 X 1 X X+1 X 1 X+1 0 0 0 0 X+1 X+1 X+1 X+1 X+1 0 0 X+1 1 0
0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X 1 1 1 X 0 X 0 X+1 X X 1 X X X+1 1 1 X+1 X+1 0 X X X X 1 0 0 X 1 X+1 X+1 1 1 X+1 0 X 0 0 X+1 X+1 X+1 1 0 X+1 0 1 X+1 X X+1 0 X+1 0 X+1 X 1 X
0 0 0 0 X 0 0 0 0 0 0 X X X X X X 0 0 0 X X X 0 X X 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 X X X 0 X X 0 X 0 0 X 0 X X 0 X X 0 0 0 X X 0 X X 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 X X X X X X X X X X X X 0 X X X X 0 X X 0 X X X X 0 0 X X X 0 X 0 0 X X X 0 0 X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 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 0 X X 0 0 X 0 X 0 X 0 X 0 0 X X X X
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+171x^62+279x^64+302x^66+255x^68+251x^70+183x^72+181x^74+132x^76+129x^78+88x^80+44x^82+13x^84+9x^86+9x^88+1x^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 1.89 seconds.