The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+52x^60+98x^61+69x^62+88x^63+93x^64+68x^65+73x^66+74x^67+80x^68+50x^69+41x^70+52x^71+28x^72+20x^73+23x^74+22x^75+22x^76+16x^77+14x^78+16x^79+6x^80+4x^81+4x^83+2x^84+4x^86+4x^88

The gray image is a linear code over GF(2) with n=134, k=10 and d=60.
This code was found by Heurico 1.16 in 0.178 seconds.