The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1  1  1  X  X  X  X  1  X  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  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  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  X  X  X  X  0  0  X  X  X  0  X  X  0  X  X  X  0  0  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  X  X  X  X  0  X  X  0  X  X  0  0  0  X  0  0  X  X  X  0  X  X  0  X  X  X  X  0  X  X  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  0  X  X  X  X  X  X  X  0  0  0  X  0  X  0  0  X  X  0  X  0  0  X  0  X  X  X  0  X  0  X  X  X  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  X  X  X  X  0  0  0  0  X  0  X  X  0  0  0  X  X  0  X  0  X  X  X  X  0  X  0  X  X  0  0  X  X  0  0  X  X  X  0  X  0  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  X  X  0  0  0  0  X  0  0  X  0  0  X  0  0  0  X  0  0  X  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  X  X  0  X  0  X  X  0  0  0  0  0  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  X  X  X  0  0  X  0  X  0  0  X  0  0  X  0  0  X  X  0  X  X  0  0  X  X  X  X  X  X  0  0  0  X  0  0  0  X  0  X  0  X  X  X  X  X  X  0  0  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  X  0  X  0  X  X  0  X  0  0  X  X  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  0  0  X  0  0  X  X  0  0  0  0  X  0  X  X  X  0  X  0  0  0  X  X  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  0  X  X  0  0  X  0  X  X  X  0  0  0  X  0  0  0  X  X  X  0  X  0  X  0  0  0  0  0  X  X  0  X  X  X  0  X  X  X  X  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  X  X  0  X  0  X  X  X  0  X  0  0  X  0  X  X  0  0  0  X  0  X  0  X  0  0  X  X  X  0  0  0  X  X  0  0  0  X  0  0  X  0  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  0  0  0  X  0  0  X  X  0  0  0  X  0  0  X  X  X  X  X  0  0  X  X  0  0  0  0  X  X  0  X  0  X  0  X  X  X  0  X  X  X  0  0  0  X  X  0  X  X  0
 0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  0  0  X  0  0  X  X  X  X  0  X  0  0  0  0  0  X  0  0  X  0  X  0  X  0  0  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  X  0  X  0  0  0  0  X  X  X  X  0  0  X  X  0  X  X  0  0  X  X  X  0  0  X  0  X  0  X  X  0  0  X  0  X  X  0  0  X  0  X  0  0  0  X  0  0  0

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+90x^60+62x^62+299x^64+193x^66+444x^68+356x^70+16x^71+574x^72+144x^73+472x^74+576x^75+663x^76+1344x^77+601x^78+2016x^79+638x^80+2016x^81+651x^82+1344x^83+574x^84+576x^85+659x^86+144x^87+438x^88+16x^89+569x^90+238x^92+321x^94+94x^96+152x^98+38x^100+45x^102+4x^104+11x^106+1x^108+3x^110+1x^142

The gray image is a linear code over GF(2) with n=160, k=14 and d=60.
This code was found by Heurico 1.16 in 77.1 seconds.