You dont have to fly too far away. Liaedin is quite close (I hope I spell it correctly) - Open galaxy map and in navigation tab type liaedin. First button to target, second to create a route. If you cant, travel to closest system connected with this "lines" and than try to create a route again (navigation tab also allows you to pick economy mode - cheapest and fast mode - picking up systems close to your maximum jump range. Second one need to rebuild a network but its worth it).
And remember - fuel scoop for 20k is good investment (you just need to orbit around the star and watch temperature - don't cross the yellow line around the star and you will be fine - you will start to get hull damage if temperature cross 150% - I pull back in about 130-135%). To increase jump range - equip lighter gear and more powerful Frame Shift Drive. Power Distributor and Power Plant also make a huge difference - Thrusters too but you need to pay attention to optimal hull mass). E < A is a 'quality' and efficiency of item, digit next to this is mass and size.
Good luck commander! Godspeed!