My guess, a program manager high up in the engineering org and not a people manager. But suggesting a high up program manager doesn't direct people is also wrong. TPMs "make the wheels go 'round" in engineering. They very much control the fate of other individual, and often whole teams so their integrity and capability both matter considerably which means they should not be passing themselves off as a coder or their individual code projects as production ready.

Does TPM not mean Technical Program Manager or Technical Product Manager?

Product Managers are generally not "Senior Engineering," though I suppose it is possible. IMO, it's a whole lot more likely a program manager than a product manager.

Probably, but that isn't a management role, they're not a manager, even if the job title includes the word manager.