Question: Did Peter Parker take part in, or have knowledge of what happened to the rest of the radioactive spiders? Were they disposed of or are they are still hanging around in a lab somewhere?

Answer: 
If we're speaking about the spiders [plural] from the Sam Raimi trilogy, its somewhat unknown. It *Was* said that traits from various spiders were taken and recombined into "These 15 genetically altered super spiders" to which Mary Jane pointed out "There are only 14; one's missing," [not counting the one that escaped and bit Peter]. But after that school visit, I don't believe any further thought or mention was given to them, even to finding the one that escaped.

To be fair, these weren't "Radioactive" spiders, and the one that bit Pete just wondered off. Thinking about it, this is a *Severe* ball drop on Peter's part; presuming they were all genetically and structurally identical, **any one of those spiders** could then imbue someone *else* with Peter's powers! Not an ideal situation....
**Ultimate Universe (Marvel Earth-1610)**

In this alternate comic universe, the spider was a test subject for an attempt by OzCorp to create a new super soldier serum, and is listed as OZ EXPERIMENT 56, ARACHNID NO. 00. This, and other frames indicate that other animal testing was ongoing and that there was a possibility of other spiders existing.

Source: Ultimate Spider-Man 2000-2009 #1

It is initially unclear as to what happens to the other test animals (if any are even spiders), as Norman Osborn moves onto human testing soon after and the lab is destroyed soon after.

Much later we get a new Spider-Man, Miles Morales, also bitten by a radioactive spider.
It turns out that this spider is number 42 (it has 42 printed on its back, where Parker's has 00), and has been living in the ruins of the lab ever since. Given the numbering, we can presume there are a fair few unaccounted for. Given the enhanced durability that the Oz formula seems to confer, it is quite possible that many survived for quite some time.

Source: Ultimate Comics Spider-Man 2011-2013 #1 

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>  Since the second Secret Wars the remaining spiders are probably a moot point since the Ultimate Universe no longer exists.
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