To estimate a maximum purchase price for the coin in question, we can analyze the provided data:

1. Current starting price: 200 euros.
2. Auction history: The coin has been auctioned 17 times, of which it has sold 14 times. This indicates good demand.
3. Average starting price: 80.18 euros, suggesting that the current starting price is significantly higher than the historical average.
4. Average hammer price: 114.93 euros, which is also lower than the current starting price.
5. Condition: There is no information about the current condition of the coin, which complicates the estimation. However, in previous auctions, coins with conditions ranging from 70 to 95 have sold for hammer prices of up to 270 euros.

### Analysis of previous prices:
- In previous auctions, hammer prices have varied considerably, with a maximum of 270 euros and a minimum of 6 euros.
- Coins with higher conditions (95) have reached hammer prices of 160 euros and 270 euros.
- The last auction with a starting price of 200 euros had a hammer price of 200 euros, indicating that the starting price may be a good indicator of the actual market value.

### Estimation:
Given that the starting price is 200 euros and considering that the average hammer price is 114.93 euros, but also that there are examples of higher hammer prices, an estimated maximum purchase price could be between 200 and 270 euros, depending on the condition and demand at the auction.

Estimated maximum purchase price: 250 euros. This is based on the trend of previous prices and the fact that the starting price is relatively high, but it should not exceed the current starting price unless there is a clear reason to do so (such as exceptional condition).