To be honest... not at all sure who the head of the family is.... royal ark indicates it could be:
1) Prince (Sidi) 'Ali Bey. b. at Sidi-Bou-Saïd, 29th July 1915, educ. privately. Rcvd: the Nishan ad-Dam and GC of the Nishan al-Iftikhar. m. (first) at Sidi-Bou-Saïd, June 1942, Lalla Zainab, daughter of Si 'Abdu'l Aziz Bakushi [Abdelaziz Baccouche], by his wife, Lalla Beya, née Farhat. m. (second) Lalla Razia [Radhia], née Essafi. He had issue, four sons and two daughters:
a) Prince (Sidi) Faruk Bey.
b) Prince (Sidi) Tariq Bey.
c) Prince (Sidi) Mahdi Husain [Mehdi Hassine] Bey.
d) Prince (Sidi) Karim Bey.
a) Princess (Lalla) Aisha [Aïcha]. m. (first) 5th October 1985 (div.) Prince (Sidi) Muhammad Razi [Radhid] Bey (b. 25th July 1960, m. second, Lalla Maherzia), son of Prince Muhammad Said Bey, by his wife, Lalla Zainab. She has issue, two sons - see above.
b) Princess (Lalla) Dorra
Another leading member of the family appears to be Prince Fayçal Bey...