is there a way to generate correlated Gaussian white noise in the NEST?

It is stated that the "noise_generator" can be used to inject a "Gaussian white” noise current into a node, also it is stated that all targets of a noise generator receive different currents. 

I am looking for a way to produce correlated white noise, or equally send the same noise to all targets of the "noise_generator".

In the next step, I like to have a small duration of noisy current, then inject the same current into different neurons at different times.

Best,

Saeed