Formula for Next Minimum Value Above a Specified Value

I am trying to write a formula that will return the next minimum value that is above a specific number in another cell.

I have tried MINIFS but it does not like the “>” operator when it refers to another cell. Any thoughts on how to get around this? Check out the attachment for a better example.

Any feedback helps. Thank you

dflak, thank you for a quick response.
I apologize for the lack of clarity. I did additional formatting after I typed in my request. In cell B7, I am looking for a formula that returns the number "4" (from the value in B18). The idea would be to copy that formula down in B8, which will then pick up the "9" identified in B23.
My apologies for my lack of clarity.
I did try an array but must have the incorrect syntax since I couldn't get it to work.

Thank you again.

Hi, Cardan! (and dflak)

You can use this formula:
[B6] : =MINIFS(B$15:B$83,C$15:C$83,C$4,D$15:D$83,D$4,$E$15:$E$83,E$4,B$15:B$83,">"&0+B5)

And drag it down. Blessings!

This works! The syntax at the end of the formula was my missing link!