Tier price ant steps correalation

Is it possible somehow to combine steps and tier pricing?

I am going to make an example to make it clear. 

Let's say I have a product which comes in 6 units per box. 
I would like to remain the possibility to purchase product for a client not just in boxes, for example: 2 units, 8 units etc. 
To promote buying product in boxes, Tier pricing at first works fine, let's say 1-5qty you receive 10% discount, 6+ 20% discount. 
But this way I am promoting tu buy at least one box, but not boxes in specific. 
If a person buys 8 units, he will still receive 20% discount for whole order. 

In this case, is it possible to make the tier price linked to the steps as well? 

For example, person buys 8 units, for 6 units he receives 20% discount, but for 2 extra he receives just 10% discount?
Or if he buys 14 units, 12 units gets 20% discount, but 2 extra just 10% discount?

Hope it is easy to understand. 

I believe the logic could be as follows - steps declare when the discount applies. There could be a regular "b2b sale price" which applies for the units, but every sum that divides correctly from the steps (for example 6) gains the "step discount" for buying a full box.