I can't physically connect tiles like in a visual game. However, I can describe a strategy to get as close to linking twenty identical number tiles as possible in a hypothetical Twenty Link game. The success depends heavily on the initial tile arrangement, which I don't have access to.

Strategy for Maximizing Links:

1. Prioritize High Numbers: Focus on linking the highest-value numbers available first. The higher the number, the fewer tiles there are of that value, making them harder to connect.

2. Look for Clusters: Identify groups of the same number that are close together. These are your easiest targets for linking.

3. Plan Ahead: Before making a connection, consider how it will affect the possibility of linking other tiles. Avoid creating blockades that prevent you from connecting other similar numbers later.

4. Strategic Placement: If possible, try to arrange your links so that they don't block other potential links. Think of it like creating pathways.

5. Iterative Approach: It's likely you'll need to adjust your strategy as you progress. The best link might become unavailable as you connect other tiles. Be prepared to adapt.

6. Consider the Shape: The physical arrangement of tiles impacts linkability. A compact cluster is much easier to link than tiles scattered across the board.

Why Reaching Twenty Identical Tiles Is Difficult (or Impossible):

The likelihood of reaching twenty identical tiles in a game like Twenty Link is very low, even with perfect play. The number of tiles available and their initial distribution heavily influence the outcome. Most variations of this type of puzzle are designed to be challenging, with a limited number of possible high-number connections. The game might not even contain twenty of any single number.