Step 1: Recall the Group 14 elements.
The elements of Group 14 are:
\[
C,\ Si,\ Ge,\ Sn,\ Pb
\]
As we move down the group, atomic mass increases significantly.
Step 2: Understand the trend in density.
Density is given by
\[
\text{Density}
=
\frac{\text{Mass}}{\text{Volume}}
\]
Down the group, the increase in atomic mass is much greater than the increase in atomic size.
Therefore, density generally increases from carbon to lead.
Step 3: Compare the densities of the given elements.
Approximate densities are:
\[
\text{Carbon} \approx 2.2\ g\,cm^{-3}
\]
\[
\text{Silicon} \approx 2.3\ g\,cm^{-3}
\]
\[
\text{Tin} \approx 7.3\ g\,cm^{-3}
\]
\[
\text{Lead} \approx 11.3\ g\,cm^{-3}
\]
Among the given elements, lead has the highest density.
Step 4: Verify with periodic trend.
Lead is the heaviest stable member of Group 14 and possesses the greatest mass per unit volume among the listed elements.
Hence,
\[
Pb
\]
has the maximum density.
Step 5: Final conclusion.
Therefore, the Group 14 element having the highest density is
\[
\boxed{\text{Lead (Pb)}}
\]
Hence, option (4) is correct.