Go the other way.... turn off all the mods and then turn them on one by one until you get the error.
Is there more to the error than what you stated? What is line 3669 in your profile.php script (mine doesn't go to line 3669).
edit: Whoops, I didn't see you were running 3.7. Here is line 3669:
Code:
eval('$template[\'attachmentlistbits\'] .= "' . fetch_template('modifyattachmentsbit') . '";');
So it's something wrong in that template, perhaps. Have you modified that template at all?