Turkish citizens leaving in the UK with ILR status but not British citizen

Yes, you can. However, you have to travel on Shenzhen Airlines in order to use 24 hour visa free transit. Shenzhen Airlines staff is the only aware that Shenzhen airport offers 24 hour visa free transit despite the fact that Timatic does not consider Shenzhen available for 24 hour visa free transit. So, upon your landing in Shenzhen you will approach 24/144 hour visa free transit where you will apply for a temporary entry permit to be allowed to exit the airport. You will present your onward ticket for Tokyo and your hotel accommodation confirmation, preferably as a hard copy.