The generator matrix

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

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+112x^60+360x^62+455x^64+502x^66+530x^68+460x^70+414x^72+380x^74+320x^76+240x^78+168x^80+94x^82+46x^84+12x^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 1.16 in 2.47 seconds.