Quantity   Component name
1 × TLC59283RGER Texas Instruments 16-channel constant-current LED driver, 24VQFN
16 × 0201 LEDs I used devices from the SunLED NanoPoint-0201 series, but I'm guessing others would work too. Footprint pad size is 0.175mm x 0.25mm, with the longer dimension perpendicular to the LED's body.
1 × 0402 current limiting resistor Read the TI datasheet, but roughly: 5k = 10 mA, 10k = 5 mA.
1 × 0402 0.1 uF 10 VDC ceramic capacitor This might need to be embiggened.