The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+35x^60+70x^61+125x^62+154x^63+143x^64+154x^65+130x^66+138x^67+135x^68+126x^69+106x^70+88x^71+90x^72+92x^73+86x^74+58x^75+57x^76+64x^77+41x^78+28x^79+42x^80+32x^81+20x^82+12x^83+9x^84+4x^85+4x^86+2x^87+2x^89

The gray image is a linear code over GF(2) with n=138, k=11 and d=60.
This code was found by Heurico 1.16 in 0.607 seconds.