My main loadout for Tiberius is shown below. I feel like the strongest part of Tiberius's kit is his Heavy Blade, so this loadout is based around Heavy Blade and Combat Trance cause Combat Trance makes you do more damage as well.
Tigron's Fury
Heavy Blade
Heavy Blade now explodes on reactivation instead of recalling, but the initial throw does reduced damage.
Level 1
Flying Chakrams
Weapon
Increase your maximum Ammo by 1.
Level 1
Instrument of Fate
Heavy Blade
Reduce the Cooldown of Combat Trance by 2s for each enemy hit by Heavy Blade.
Level 5
Imbued with Purpose
Heavy Blade
Reduce the Cooldown of Heavy Blade by 2.4s.
Level 4
Honed Senses
Combat Trance
Generate 1.7999999999999998% Ultimate charge every 1s while Combat Trance is active.
Level 3
Making the Cut
Heavy Blade
Heal for 80 for each enemy hit by Heavy Blade.
Level 2
Level 3
Wrecker
Weapon
Your weapon attacks deal 60% increased Damage to Shields.
Level 2
Resilience
Armor
Reduce the duration and effectiveness of Crowd Control and Slows by 50%.
Level 2
Life Rip
Weapon
Your weapon shots gain +20% Lifesteal.