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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+77x^70+140x^71+207x^72+314x^73+435x^74+522x^75+595x^76+644x^77+705x^78+746x^79+800x^80+828x^81+818x^82+912x^83+915x^84+894x^85+930x^86+888x^87+794x^88+764x^89+682x^90+608x^91+519x^92+490x^93+328x^94+224x^95+207x^96+134x^97+102x^98+46x^99+49x^100+28x^101+15x^102+10x^103+7x^104+3x^106+2x^108+1x^126

The gray image is a linear code over GF(2) with n=168, k=14 and d=70.
This code was found by Heurico 1.16 in 98.4 seconds.