LTC6268-10 propagation delay time

Hi engineers:

I use the LTC6268-10 as Photomultiplier Tube Post-Amplifier.The scheme as follows.

Example waveform from LTC6268-10 datasheet.

What is the delay between input and output?I test it about 10ns,is it right?Is there a nominal value?Thank you!

Additional the LTC6268-10's bandwidth is't enough for my apply.This is my PMT datasheet.

H10720_H10721_TPMO1062E-PMT.pdf

My laser drive are :the rise time is 5ns,the pulse width is 10ns.I want to use 20k transimpedance or larger,can you give me some advice about what amplifiers I can select?Thank you very much.