My best producting and invisible planet would be:

It's still a working progress but I'm currently happy.
Modules I Currently have:
Counter-Intelligence Nexus Research: 2, Cloak: 150 Demolish
Refining Lab Mining: 1, Research: 1 Demolish
Relay Tower Research: 1, Artifact: 1 Demolish
Spy Uplink Research: 1, Cloak: 40 Demolish
Spy Uplink Research: 1, Cloak: 40 Demolish
Warp Gate Mining: 1, Research: 1, Artifact: 1 Demolish
Adumbrate Station Research: 1, Artifact: 1, Cloak: 200 Demolish
Adumbrate Station Research: 1, Artifact: 1, Cloak: 200 Demolish
Akulan Gas Ingestor Research: 3 Demolish
Chron Shifter Cloak: 300 Demolish
Ergosphere Filter Cloak: 150, Cloak: 20% Demolish
Zolazin Analyzer Research: 1, Artifact: 1 Demolish
Zolazin Analyzer Research: 1, Artifact: 1 Demolish
Cross-Signal Restrainer Cloak: 30% Demolish
RSL Data Uplink Research: 3, Defense: 300, Cloak: 100 Demolish
RSL Data Uplink Research: 3, Defense: 300, Cloak: 100 Demolish
Processing Core Mining: 1, Artifact: 1 Demolish
Space Elevator Artifact: 1, Population: 50 Demolish
Quantum Accelerator Research: 2, Cloak: 150 Demolish
HyperSensor Satellite Research: 2, Artifact: 2 Demolish
Chron Shifter Cloak: 300 Demolish
Silthion Gas Vesicle Research: 2, Cloak: 150 Demolish
Sha'din Hypergrid Network Research: 2, Defense: 200 Demolish
Interrogation Stronghold Research: 2, Defense: 300 Demolish
Quantum Accelerator Research: 2, Cloak: 150 Demolish
Matrioshka Brain Research: 10 Demolish
Matrioshka Brain Research: 10 Demolish
Heist Dispatch Center Mining: 1, Artifact: 1, Attack: 150 Demolish
DM79 Datacenter Research: 6 Demolish
Q-Pedd Science Station Research: 3, Research Storage: 2000 Demolish
Q-Pedd Science Station Research: 3, Research Storage: 2000 Demolish
Isolation Bureau Mining: 2, Research: 2, Artifact: 2, Cloak: 400 Demolish
Modules I'm currently Missing:
+12s
Meta-Tuned Jammer
Hypergate
Trelith upgrades
That Voliir invasion protection module with research
and some other things.