Aura Cazares is hosting 10 families where each family has 6 members, two adults, two teenagers and two toddlers. She wants to sit all of them in a gigantic circular table with 60 seats. Moreover (1) members of the same family must sit together, (2) each toddler must have a family member sitting on each of his/her two sides, and (3) the two toddlers in each family cannot sit next to each other. How many ways can this be done?