The generator matrix

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

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+204x^74+342x^76+478x^78+505x^80+506x^82+389x^84+406x^86+324x^88+274x^90+264x^92+168x^94+120x^96+56x^98+37x^100+20x^102+2x^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 1.10 in 1.14 seconds.