The generator matrix

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

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+93x^70+144x^71+235x^72+340x^73+450x^74+500x^75+571x^76+670x^77+672x^78+694x^79+811x^80+860x^81+884x^82+854x^83+873x^84+974x^85+795x^86+866x^87+808x^88+734x^89+703x^90+614x^91+556x^92+430x^93+351x^94+292x^95+193x^96+136x^97+119x^98+64x^99+44x^100+14x^101+27x^102+4x^103+4x^104+2x^105+1x^110+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 1.10 in 15.8 seconds.