Is the name "Ahmed" found in scripture? Some say that name "Ahmed" (the Muslims' prophet who is also known as "Mohamed") is mentioned in scripture, and it is foretold that he would be a prophet, but his name was censored years after Jesus.

Does modern Christianity accept this? Are there any references?

I know that Mohamed was born many years after Jesus, but I'm looking for something in the way of a divination or a enunciation.
You might want to look at this question, which is virtually identical. To summarize:

It is a simple matter to search the entire contents of the Bible. Doing so will reveal no occurrences of the words Muhammad or Ahmad or any of their spelling variants. Manuscripts of the New Testament have been found going back to the first few decades after Jesus, and in none of these manuscripts does the name Muhammad or Ahmad appear.

Claims like this, made by Muslims, are usually referring to the Gospel of Barnabas. The Gospel of Barnabas  has never been part of the Christian Bible. It contradicts all of the early Christian documents in many ways, follows a remarkably Islamic point of view, and includes a passage in which Jesus predicts Muhammad. No manuscripts of this gospel, or any description of it, exist from before the 16th Century. (There are mentions of a Gospel of Barnabas from the 6th Century - still much later then the canonical gospels -  but we have no way of knowing if this is the same document.)

To directly address the 'censored' question: No, there is absolutely no evidence whatsoever of the name having been removed from any biblical documents. There are no manuscripts of biblical documents that contain his name; there are no letters referring to such documents; there are no letters discussing such censorship. Also the canon of scripture was established before Mohammed, and we have many copies of the documents that predate Mohammed, so no: this did not happen.