The generator matrix

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

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+148x^60+329x^62+441x^64+508x^66+506x^68+475x^70+433x^72+398x^74+306x^76+229x^78+158x^80+94x^82+48x^84+15x^86+7x^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 2.56 seconds.