The group on the periodic table with the most stable amount of valence electrons is Group 18, the noble gases.

Here's why:

* Valence Electrons: These are the electrons in the outermost shell of an atom, which are involved in chemical bonding.

* Stability: Atoms are most stable when their outermost shell is filled with the maximum number of electrons it can hold.

* Noble Gases: Noble gases have a full outermost shell, meaning they have a complete octet (8 valence electrons) except for helium, which has a complete duet (2 valence electrons). This makes them very unreactive and stable.

Examples:

* Helium (He) - 2 valence electrons

* Neon (Ne) - 8 valence electrons

* Argon (Ar) - 8 valence electrons

* Krypton (Kr) - 8 valence electrons

Let me know if you'd like to explore other groups and their stability!