This game was part of a promotion for the Tales of Destiny remake (PS2) game where one could obtain special wallpaper by completing flash game minigames and entering passwords found at the end of the game into a web form. It is a remake of a previous game by D_of_I called たまごぽとり
landing page here:
https://web.archive.org/web/20070114194125/http://namco-ch.net/to-destiny/index.html
passwords entered here:
https://web.archive.org/web/20070114131321/http://namco-ch.net/to-destiny/ps2_rendo.php
games here:
https://web.archive.org/web/20070114131308/http://namco-ch.net/to-destiny/pc_game.html
D_of_I blog post introducing the game here
http://ishi.blog2.fc2.com/blog-entry-204.html