Fine tune midi value

Hello Community !
I would need some help .
I try to find a way to send fine tuning midi value in CC 14bits .
I have to manage value from 20 to 999
but not in linear form
I think it’s exp … but that is not the point.
I would like to be able to obtain fine value at will. For example, value 120.
yes it’s BPM .
but when i turn the knob i have value before 117 and just after 121
I would like to be able to fine tune the value and increment it 1 by one if i touch another button (for exemple). is it possible ?

Also , i tried to fine tune by opening the detail windows but it does not. That would be cool to be able to use the button 5 (for exemple) to send fine tuned value ?