A jump gate with a 50-100 ly range is a bit meaningless. My fairly tooled up runabout Asp has, following some engineering, a jump range of 40+ ly, even the trade 'Conda can do 25 ly. To be meaningful in the bubble you would need 200+ ly and by the time you'd travelled to the jump gate and then to your destination you might just as well have gone the long way round (assuming space isn't littered with jump gates).
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From personal experience I did some exploring 2000 ly from the bubble - felt like a very long way from home. I then signed up for Distant Worlds and my progress scratch sheet for the direct trip back started at 65,312.48 ly, estimated 2612 jumps. Now that IS a long way from home! I've just jumped out to the Formidine Rift, 7183.69 ly, estimated 190 jumps (longer jump range now). After Beagle Point that's not even down the road to the chip shop!
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My advice would be to visit Sag A* (600K exploration credits on its own) or if you are up for it Beagle Point, jumping in the galactic core is an amazing experience, so many stars! Then when you get back to the bubble a couple of hundred light years just doesn't seem so far after all.
