Could be. But of course, since it doesn't say the whole world was flooded, and since there was a huge regional flood in the Middle East at roughly the right time, I'm inclined to believe that it did happen.
As you admit, the mountains at the time were thousands of feet high, and therefore, if the water only raised 25 feet, not even the mountains in the Middle East would have been covered. Not even valleys higher than 25 feet above the lower plains. So that's pretty much out.
So what part of "and the mountains were covered" do you not get? Or are you just ignoring that sentence?
There were such peaks where the Black Sea was created by the flood. There are also remains of settlements at the bottom of the Black Sea.
I see your denial, but as in this post, you have revised God's word to suit your own inclinations.
Please show how.
As I keep saying, I'm taking what is said in the Bible at face value, reading what it says as what it says, which is that all the mountains were covered. How can mountains be covered in water if it's a local flood? How does the ark "[rise] high above the earth" if the waters are only 15 cubits high (first of all, the boat wouldn't have even been lifted off the ground if the water was only 15 cubits high, it's too heavy and there's not enough upward pressure on the hull) and then how could the ark get moved around on the surface of the waters? It wouldn't move at all if it were simply a local flood. Please zoom out a bit and get the big picture of what's being said, instead of just focusing in on a single phrase.
Now the flood was on the earth forty days. The waters increased and lifted up the ark, and it rose high above the earth. The waters prevailed and greatly increased on the earth, and the ark moved about on the surface of the waters. And the waters prevailed exceedingly on the earth, and all the high hills under the whole heaven were covered. The waters prevailed fifteen cubits upward, and the mountains were covered. And all flesh died that moved on the earth: birds and cattle and beasts and every creeping thing that creeps on the earth, and every man. All in whose nostrils was the breath of the spirit of life, all that was on the dry land, died. So He destroyed all living things which were on the face of the ground: both man and cattle, creeping thing and bird of the air. They were destroyed from the earth. Only Noah and those who were with him in the ark remained alive. And the waters prevailed on the earth one hundred and fifty days. - Genesis 7:17-24 http://www.biblegateway.com/passage/?search=Genesis7:17-24&version=NKJV