The generator matrix

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

generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+162x^62+210x^64+168x^66+137x^68+90x^70+76x^72+52x^74+40x^76+28x^78+35x^80+8x^82+11x^84+4x^86+2x^88

The gray image is a linear code over GF(2) with n=136, k=10 and d=62.
This code was found by Heurico 1.16 in 31 seconds.