How much wine are you talking about? If this is a gallon, I don't
think you can use hydrogen peroxide to deal with this, it sound like
you would have over 200 PPM free and hydrogen peroxide is usually used
to removes 10's of Pm's.

If this is 5 gallons you can try peroxide but just rack it at least
once before anything else. That will probably drop it by at least 10
PPM if you dangle the hose and it's less drastic.

Let us know what you have to start with and maybe we can give you the
least drastic option.

I can tell you that sounded like mycoderma and the solution that works
best on any film forming infection is to do the following:

* Insert something in the carboy to overflow it, a plugged wine thief
works great. Just wrap a paper towel around the neck and let the
infection roll over the side.

* Wipe the open inner surface of the carboy clean, then wet a paper
towel with sulfite solution (I keep a bottle of 1% and citric around)
and re wipe.

* Make sure your sulfite level is correct for the pH of the wine, if
you don't have a way to measure pH use 50 PPM as a ballpark.

*Don't stir in the sulfite, pour the liquid in slowly to let it
overdose the top of the wine, it may lighten the color but don't worry.
If you missed any mycoderma this will probably kill it.

Exposure to air and low sulfite usually bring this on, see if you can
determine how it happened.

Joe