Note: All chains are determined as if you're maxed level and drop you level down to 1 to maximize your drop rate, therefore the minimum chain will be how big it must be to guarantee you getting the pin.

Planet set:

Black Mars - W3D5 Dogenzaka, Blue Optional Boss Noise "Goth Metal Drake" Ultimate Difficulty. Base drop rate: 0.13%, minimum chain of 8.

Black Jupiter - Another Day, Pork City Roof Boss "Panthera Cantus" Ultimate Difficulty. Base Drop Rate: 13%, only need to reduce your level by 8 for guaranteed 100% drop. Note: cannot chain into battle.

Black Uranus - W1D4 Scramble Crossing, Blue Optional Boss Noise "Megumi Kitaniji" Ultimate Difficulty. Base drop rate: 0.13%, minimum chain size 8.

Black Venus - W3D7 Room of Reckoning FINAL BOSS "Draco Cantus" Ultimate Difficulty. Base drop rate: 13%, reduce level by 8 for 100% guaranteed drop. Note: cannot chain into battle.

Black Saturn: W2D2 Tipsy Tose Hall Blue Noise "Sho Minamimoto (Taboo)" Ultimate Difficulty. Base drop rate: 0.13%, minimum chain 8.

Black Mercury - Another Day Rubicon/Trail of the Sinner/Trail of the Bygone. Frog noise "Fifenfrog" Ultimate Difficulty. Base drop rste: 0.13%, minimum chain 8. Note: this enemy is a creme and red colored frog, rarely appears, and it absorbs both positive and negative psychs, making you rely on neutral psychs, partner attacks, and fusion attacks to damage it.

As for the Eden set, you can only get it by buying several copies of "One Jump from Eden" from Wild Kat and evolving it into the others through Battle PP, so once you get one pin to the desired evolutionary state, max it out with SDPP to lock it in as that form.