Display a photo at a specific time

Hi, I am new to the forum and very new to PHP. I am a very active geocacher and there is what we call "Mystery Caches" which 90 percent of the time are cryptic puzzles.

I made a puzzle (with help) called Stayed awake all night which uses a PHP script to rotate a picture every hour on the hour. At 12AM and 1AM pictures are displayed that have the coordinates to located the geocache. The code I used for that purpose is below.

Code:

---

<?php
create_image();
exit();

function create_image()
{
    $file = 'xyz' . date("H") . '.png';
    $image = @imagecreatefrompng($file);   
   
    //Tell the browser what kind of file is come in
    header("Content-Type: image/png");
    // Image cannot be cached locally
    header('Cache-Control: no-cache, no-store, must-revalidate'); // HTTP 1.1.
    header('Pragma: no-cache'); // HTTP 1.0.
    header('Expires: 0'); // Proxies.

    //Output the newly created image in png format
    ImagePng($image); 
    //Free up resources
    ImageDestroy($image);   
}
?>

---

I'd like to make a new puzzle using Pi. I'd like to rotate photos at specific times starting at 3:14(both am or pm) and then just follow the sequence(3.14 1 5 9 2 6 5 3 5 9)

First photo show at 3:14, next photo 1 minute later, then 5 minutes later, then 9 minutes later, and so on until I finish with the last digit above.

Is this even possible? I assume it is but it is well above my knowledge base.

Thanks