Combat Maneuvers and fighter weapon training

[Jurkal]

The facts are:
level 16 fighter
Strength +8 mod
Improved Trip
Greater Trip
Weapon Focus: Flails: +1
Weapon Training Flails: +5
Gloves of Dueling

So my bonus is +36? and +38 with flanking?

[BadBird]

Yes, trip can be done with a weapon, so you apply weapon training. He also adds his weapon enhancement since it's a weapon attack roll.

[kinevon]

What? No Greater Weapon Focus?

BAB: +16 (16)
Str +8 (24)
ImpTrip +2 (26)
Gr Trip +2 (28)
WF +1 (29)
WT +5 (34)
GoD +2 (36)

Given the information, yes. 36, 38 with flanking (assuming nothing improves the bonus from flanking)

+3 or +4 weapon, as mentioned, also add to the number, so 39 or 40, possibly 41 if +5.
If the weapon has the Dueling enhancement from the Pathfinder Society Field Guide, that would add not just the weapon's normal enhancement, but also an additional double that as a luck bonus.

Some other enhancements or abilities can improve that still further. The Lore Warden archetype for Fighter, also from the PSFG, for example, would add another +6 or some such, IIRC.