The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+198x^74+377x^76+484x^78+472x^80+432x^82+482x^84+354x^86+340x^88+314x^90+229x^92+180x^94+115x^96+80x^98+24x^100+6x^102+8x^104

The gray image is a linear code over GF(2) with n=168, k=12 and d=74.
This code was found by Heurico 1.16 in 3.92 seconds.