I dunno if this thread really fits here because it's not crafted. But I think we should start compiling info and they are augments, so I ended up doing a new thread here. Feel free to move it if it's in the wrong section.
Heemo-Weemo augments Colonization gear for 2000 bayld (1800 with Signboard) with a coalition grease you can buy from Ugtoor for 5000 bayld. Both are located in Inventors Coalition.
For weapons you have Divainy-Gamainy who takes 3000 bayld (2700 with Signboard) for his services and wants a ghastly stone.
So far gear have static augments with coalition grease and weapons have random augments with ghastly stones. You get ghastly stones and weapons from Skirmish.
Japanese findings on weapons.
Coalition grease
Karieyh brayettes get HP+65.
Karieyh moufles get HP+40.
Karieyh sollerets get HP+40.
Karieyh haubert get HP+120.
Karieyh morion get HP+40.
Thurandaut boots get HP+30 MP+30.
Thurandaut tights get HP+50.
Thurandaut gloves get HP+40 MP+40.
Thurandaut tabard get HP+90.
Thurandaut chapeau get HP+35.
Orvail cuffs get MP+45.
Orvail pants get MP+60.
Orvail robe get MP+120.
Orvail corona get MP+50.
Orvail souliers get MP+45.
Ghastly stone
Shichishito (Great Katana) SAM
DMG:+25 DEX+6 STR+1 (Ghastly stone +1)
DMG:+23 STR+5 DEX+9 (Ghastly stone +1)
DMG:+24 (Ghastly stone +1)
DMG:+20 (Ghastly stone +1)
DMG:+19 DEX+7 (Ghastly stone +1)
DMG:+18 (Ghastly stone +1)
DMG:+10 STR+1 (Ghastly stone +1)
DMG:+9 DEX+7 (Ghastly stone +1)
DMG:+5 DEX+5 STR+7 (Ghastly stone)
DMG:+1 DEX+5 STR+1 (Ghastly stone)
Kannakiri (Katana) NIN
DMG:+14 DEX+3 (Ghastly stone +1)
DMG:+11 DEX+2 (Ghastly stone +1)
DMG:+4 STR+1 DEX+2 (Ghastly stone)
Uffrat (Staff) SMN
DMG:+16 MND+3 Avatar: "Mag.Atk.Bns."+25 (Ghastly stone +2)
DMG:+13 INT+9 Avatar: "Mag.Atk.Bns."+29 (Ghastly stone +1)
DMG:+6 Avatar: "Mag.Atk.Bns."+21 (Ghastly stone +1)
DMG:+5 INT+4 MND+2 Avatar: "Mag.Atk.Bns."+10 (Ghastly stone +1)
DMG:+5 Avatar: "Mag.Atk.Bns."+5 (Ghastly stone)
DMG:+2 MND+8 Avatar: "Mag.Atk.Bns."+2 (Ghastly stone)
Iizamal (Scythe) DRK
DMG:+24 STR+3 (Ghastly stone +1)
Aedold (Club) WHM
DMG:+5 DEX+1 (Ghastly stone +2)
DMG:+5 (Ghastly stone +1)
DMG:+3 (Ghastly stone +1)
DMG:+3 STR+4 (Ghastly stone)
DMG:+2 STR+3 DEX+6 (Ghastly stone)
DMG:+1 DEX+9 (Ghastly stone)
DMG:+1 (Ghastly stone)
Iclamar (Great Axe) WAR
DMG:+15 DEX+3 (Ghastly stone +1)
DMG:+11 STR+5 (Ghastly stone +1)
DMG:+10 STR+4 DEX+7 (Ghastly stone +1)
DMG:+12 (Ghastly stone)
DMG:+9 (Ghastly stone)
DMG:+3 (Ghastly stone)
Lehbrailg (Staff) BLM/SCH/GEO
DMG:+22 INT+2 MND+3 "Mag.Atk.Bns."+27 (Ghastly stone +2)
DMG:+24 MND+2 "Mag.Atk.Bns."+24 (Ghastly stone +1)
DMG:+11 "Mag.Atk.Bns."+24 (Ghastly stone +1)
DMG:+8 INT+5 "Mag.Atk.Bns."+12 (Ghastly stone)
Bocluamni (Archery) RNG
DMG:+25 STR+1 AGI+4 (Ghastly stone +2)
DMG+10 AGI+4 (Ghastly stone +1)
DMG:+9 STR+4 AGI+5 (Ghastly stone +1)
DMG:+6 STR+1 AGI+1 (Ghastly stone)
DMG:+5 (Ghastly stone)
Ninzas (Hand-to-Hand) MNK/PUP
DMG:+30 STR+1 (Ghastly stone +2)
DMG:+24 DEX+7 (Ghastly stone +2)
DMG:+24 STR+5 (Ghastly stone +2)
DMG:+29 STR+6 DEX+1 (Ghastly stone +1)
DMG:+21 DEX+5 (Ghastly stone +1)
DMG:+18 (Ghastly stone +1)
DMG:+16 STR+2 DEX+1 (Ghastly stone +1)
DMG:+15 STR+5 DEX+5 (Ghastly stone +1)
DMG:+14 DEX+7 (Ghastly stone +1)
Crobaci (Great Sword) PLD/DRK/RUN
DMG:+21 DEX+4 (Ghastly stone +2)
DMG:+28 DEX+2 (Ghastly stone +1)
DMG:+27 STR+5 (Ghastly stone +1)
DMG:+26 DEX+3 (Ghastly stone +1)
DMG:+26 DEX+2 (Ghastly stone +1)
DMG:+20 (Ghastly stone +1)
DMG:+13 DEX+1 (Ghastly stone +1)
DMG:+11 DEX+1 STR+1 (Ghastly stone +1)
DMG:+9 STR+3 (Ghastly stone +1)
DMG:+6 STR+8 (Ghastly stone)
Leisilonu (Dagger) THF/BRD/DNC
DMG:+10 STR+3 (Ghastly stone +2)
DMG:+9 DEX+5 (Ghastly stone +2)
DMG:+8 STR+4 (Ghastly stone +2)
DMG:+8 (Ghastly stone +2)
DMG:+7 (Ghastly stone +1)
DMG:+6 STR+3 DEX+3 (Ghastly stone +1)
DMG:+5 STR+3 (Ghastly stone +1)
DMG:+5 (Ghastly stone +1)
DMG:+4 STR+1 (Ghastly stone +1)
DMG:+3 STR+1 (Ghastly stone +1)
DMG:+3 (Ghastly stone +1)
DMG:+4 DEX+3 (Ghastly stone)
DMG:+4 (Ghastly stone)
DMG:+3 STR+3 DEX+3 (Ghastly stone)
DMG:+3 (Ghastly stone)
DMG:+2 STR+4 (Ghastly stone)
DMG:+2 STR+8 (Ghastly stone)
DMG:+2 (Ghastly stone)
DMG:+1 STR+7 DEX+7 (Ghastly stone)
DMG:+1 STR+5 (Ghastly stone)
DMG:+1 (Ghastly stone)
Iztaasu (Sword) RDM/PLD/BLU
DMG:+9 DEX+1 (Ghastly stone +2)
DMG:+9 (Ghastly stone +2)
DMG:+9 DEX+7 (Ghastly stone +1)
DMG:+5 DEX+6 (Ghastly stone +1)
DMG:+3 STR+7 DEX+6 (Ghastly stone)
Hgafircian (Marksmanship) RNG/COR
DMG:+8 AGI+4 (Ghastly stone +2)
DMG:+10 STR+5 AGI+5 (Ghastly stone +1)
DMG:+7 STR+1 (Ghastly stone +1)
DMG:+4 AGI+8 (Ghastly stone +1)
DMG:+2 STR+9 (Ghastly stone)
DMG:+1 AGI+4 (Ghastly stone)
DMG:+1 (Ghastly stone)
Faizzeer (Axe) WAR/BST
DMG:+17 STR+7 (Ghastly stone +1)
DMG:+16 (Ghastly stone +1)
DMG:+5 STR+8 (Ghastly stone)
DMG:+3 DEX+6 (Ghastly stone)
Qatsunoci (Polearm) DRG
DMG:+20 (Ghastly stone +2)
DMG:+10 DEX+8 (Ghastly stone +1)
DMG:+9 DEX+5 (Ghastly stone +1)
DMG:+10 STR+7 (Ghastly stone)