Are those a variation on the Deutsch connectors? The wire end looks somewhat like it.
If so (and even if not) there are probably pin tools specifically for your setup. I still have not done it, but there are tools now like a key-ring that have twenty or thirty different de-pin tools hanging from them. I have an older version with just six pins that remove things like GM and Ford old style connectors and Weatherpacks, but not the new ones.
Sounds like it would be worth it in this case.
You trying to get it through a smaller hole than the connector will allow?
Paul