You're not doing anything wrong.
Compared to this truck, what rpm was your old truck turning at say 100kph? The Hino is running between 1650-1700 rpm, correct?
There's a switch near the shifter, labeled pwr/econ, correct? If you were to stick in in pwr, it'll delay upshifts (it will rev higher) than it will in econ, which will let you accelerate a bit faster.
That kick you are feeling...is it during a downshift? These transmissions tune their shift quality as you drive it. Sometimes when they're new you feel the occasional odd bump or flare, it should learn not to do that pretty quickly. The fan on the engine can also make an incredible noise when the fan clutch engages. It takes several horsepower to turn that fan at high rpm, and the loss is noticeable.
Essentially, the Hino is a little heavier than your old 4200, but making roughly the same power, and it's rear gear ratio is kind of tall. It will do fine on the highway, but struggle on hills.
If you're mostly running up and down hills, you might consider doing a gear change, but not much else is going to help.
It's my understanding that one could get the 260HP engine from a 338 in a 268 for 2015. That would have been nice.