There are about 7-8 Anandtech members in Diplomatic Disruption (my corp), but while we don't discourage mining, we are nearly 100% PvPers. If you are interested in joining, you can message me in game (Martimus28) or Michael (Myrdin Potter).
I used to run L4 missions for all the new members on a regular basis, but I can no longer enter high-security space (where my L4 agent was) so I stopped doing that about 6 months ago. I would run 6/10 plexes with other corp members as well, until recently.
I should probably reach out to the newer members like I used to. The biggest reason I do not is because I am leaned on much more by my alliance to run gangs, and find targets. I just need to take the additional effort to try to take newer members along with me while I am doing that.
You are always welcome to come out with me when I lead a roam, but I don't make it a corp only event - or even alliance. Any blue ship willing to shoot at my enemies is welcome to come along