We have just returned from a week at Christian's place. We are on big familly with one set of grandparents, 4 other adults and 3 boys aged 11-14. 9 in total.
This modern villa is really spacious in all areas. (Especially the bedrooms - Loved them!). It also comes with a lot of outdoor space with a great sized swimming pool. Kids loved the table tennis and pool rooms.
You will definitely need a car, and being centrally located it is well worth visiting all areas on the island, including the town of Llucmajor itself.
There are some great beaches a 10-minute drive away, which are not crowded and sheltered by pine trees. We liked Playa Cala de ses Lleonardes, a small bay overlooking Palma.