On Victory we've got the runs down to roughly 15-18 minutes. Dependent on team build up (and how well people know their toons)
Earth (quicksand is best), Plant or fire to lock-down the mobs.
Radiation or Sonic debuffs.
Archery AND Fire blaster to blast each mob.
Rest is candy. Kins do make it go a bit faster, but it's optional.
A proper Archery blaster can nova each group, first 5-6 mobs he can take down himself. After that, the fire's nova is needed due to the high amounts of bosses. We run first mission in roughly 10 minutes.
If you don't have a controller to lock-down mobs, you're looking at a VERY good archery blaster that knows when to nova the group. I've found that if you hit Aim + BU and do RoA after the Received the badge after each mob, you hit them right when they spawn.