I've modified CHERTS's driver to allow you to connect DHTxx sensors to any of the GPIO pins.
I also made this project into a pure driver.
Clone this project (and easygpio) inside your own project and point your MODULES variable in the Makefile to those folders.
For a single device, connect as follows DHT22/DHT11 to ESP:
DHT 1 (Vcc) to Vcc (3.3 Volts) ESP
DHT 2 (DATA_OUT) to your ESP GPIO
DHT 3 (NC)
DHT 4 (GND) to ESP GND
Connect a 5KΩ resistor between Vcc and the DATA_OUT pin. If you are using several sensors you will need one such pullup resistor per sensor.
You can connect any GPIO to a DHTxx sensor, including GPIO16. But i don't recommend using GPIO15. A DHT pullup resistor (on GPIO15) will cause the ESP to boot in "Boot from SD-card" mode.