Pokemon-go – How short or long can the trainer name be

If you train your Pokémon high enough, it will get to the stage where you will get a notification saying

"Trainer is not a high enough level to train this Pokémon"

meaning that the Pokémon has reached it's max CP for your current Trainer level. The CP meter may not be 100% full, but it is at a stage where the increase in CP will exceed this meter. Eg. Training a Pokémon raises the CP by 20, and the meter is at 85/100.

Raising your Trainer level will increase this meter, allowing you to train your Pokémon to a higher level.

The most in-depth answer I was able to find regarding this is here. It seems like you will be soft-banned (which is temporary and wears off relatively quickly, despite the harshness of the term) if the GPS pings you in two distant points without a reasonable amount of time to travel between them.

Cars:

• Driving at 45 mph for 1 hour earned no ban
• Driving at 65 mph for 1 hour earned no ban

I can’t speak for higher speeds, but a consistent speed of up to 65 for an hour was tested and no bans were earned. Even though I was not banned, be wary!

GPS Spoofing: This data was acquired using a dummy account

• ~500 ft. No Ban
• ~1000 ft. No Ban
• ~2000 ft. No Ban
• ~1 Mi. First inconsistent ban (Didn’t earn a ban everytime) Lasted between 5 and 10 minutes.
• ~2 Mi. First consistent bans (Earned everytime) Lasted between 5 and 30 minutes.
• ~5 Mi.+ Ban Earned This ban duration seems more inconsistent. Traveling 10 Mi. earned me a 20 min. ban and a jump of ~800 Mi. only earned me ~15 min. ban.

From personal experience, I drive roughly 26 miles to work, about 5-7 miles residential and the rest on the freeway. Having the game run while driving through the residential area (speed limit ~30-40 mph) has never resulted in any sort of soft ban for me. Bear in mind, I lock my phone when driving on the highway, since there is little to no chance of me encountering anything.