Image link generator?

Question

random numbers

The crux of the matter is this!
We have two links:
***********ages/m/specialgifts/201405(7aa786fd5b).png
***********ages/m/specialgifts/201405(2bce799a91).png
As you can see, the last 10 characters in the link are different, they are in brackets, you need a service or program to iterate over a certain part of the URL and then check if there is a picture on it.
Hand picking is not an option.
Prompt software for enumeration.
Previously, in VK, they searched for pictures like this

Answer 1

Is there a picture on it? On what?
UPD1 You send
a link to the picture to the function in which you send a request to this url, if the response is a 404 error, then there is no picture. You can push this function into a loop, or call it if necessary.
But This function will also check for the existence of other pages, even if it's not even a link to an image. To do this, filter the links

Answer 2

The difference in the link is 10 characters, I know for sure that there are more pictures in a certain directory, but it's unrealistic to sort through the handles to find a specific picture

Answer 3

In general, I need to generate
from
*******.ru/images/m/specialgifts/201405aaaaaaaaa.png
to
*******.ru/images/m/specialgifts/2014059999999999.png
Including letters and numbers, and check if this image exists on the site