Just called up TNT, gave them the tracking number under "Our Delivery Reference Number" (apparently this is the right one, not the one starting 802). They said it won't register in their system until it's been collected, and it's unlikely to be collected tonight now. She suggested I try again via the website tomorrow around 4-5PM, and if there's nothing then, give them another call. This is basically hanging on Apple saying "ok you can come collect now", I'm told.
The delivery reference number has 10 digits. The consignment number on the internation tracking site of TNT has 9 digits like the one that starts 802 and on the UK site it is 8 digits. So I think that person has given you some incorrect info