24 barg is above the capability of any air-derivative screw. There are a few process-derivative machines that can go there, but even with them you are at the top of the range.

I would use a recip with suction controller set at 10 barg and accept that I'm going to toss some energy when the supply is at the max pressure. It is a single stage application only doing 2.3 compression ratios so you probably don't even need an after cooler.

David Simpson, PE
MuleShoe Engineering

Law is the common force organized to act as an obstacle of injustice Frédéric Bastiat

what is the MW capacity of the GT ? (in other words, what is the kg/h you want to boost.....)

"If you want to acquire a knowledge or skill, read a book and practice the skill".

here are some HP screws
http://kobelcocompressors.com/index.php/oil-inject...

http://www.mayekawa.eu/en/media/brochure-downloads...

Reciprocating compressors would be preferable. But even screw compressors can be multi staged by arranging in series to achieve the desired pressure rise.The only disadvantage is that screw compressors are not good for high flow rate applications.