The generator matrix

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

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+56x^69+116x^70+246x^71+320x^72+424x^73+546x^74+602x^75+653x^76+668x^77+716x^78+756x^79+833x^80+886x^81+920x^82+908x^83+925x^84+946x^85+888x^86+764x^87+762x^88+672x^89+582x^90+566x^91+435x^92+348x^93+256x^94+216x^95+148x^96+82x^97+64x^98+36x^99+17x^100+14x^101+8x^102+2x^103+1x^108+1x^124

The gray image is a linear code over GF(2) with n=166, k=14 and d=69.
This code was found by Heurico 1.16 in 98.8 seconds.