I understand that gas turbines can produce that kind of power, in fact I used to work on some pretty large turbines and turbo generators in the 500-1000MW range. However they aren't used as backup generators where they have to be online in a minute.
These are the types of generators I was referring to, https://powergen.gepower.com/products/reciprocating-engines/...
More batteries to get over the slower generator startup time, and likely quite a few smaller generators to do the best they can to keep the batteries going if the big generator is slower than expected to startup that day.