The generator matrix

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

generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+110x^60+368x^62+447x^64+504x^66+528x^68+450x^70+434x^72+380x^74+318x^76+224x^78+172x^80+108x^82+36x^84+14x^86+2x^88

The gray image is a linear code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.10 in 0.875 seconds.