I can’t put together a good flow for these names.
[name_m]Franklin[/name_m]
[name_m]Nicholas[/name_m]
[name_u]Jude[/name_u]
So we do two middle names and last name starts with J.
Our other sons are
[name_m]Maxfield[/name_m] [name_m]William[/name_m] [name_m]Joel[/name_m]
[name_m]Kason[/name_m] [name_m]Aries[/name_m] [name_m]Alexander[/name_m]
So it doesn’t really have to match per se
And any other spellings of [name_m]Nicholas[/name_m] I’ll consider 
I’d put them together just as you’ve listed, [name_m]Franklin[/name_m] [name_m]Nicholas[/name_m] [name_u]Jude[/name_u]. Or [name_u]Jude[/name_u] [name_m]Nicholas[/name_m] [name_m]Franklin[/name_m].
If you meant what other names to go with them, I’d suggest
[name_m]Franklin[/name_m] [name_m]Matthias[/name_m] [name_m]Cole[/name_m]
[name_m]Nicholas[/name_m] [name_m]Hugo[/name_m] Arxher /[name_m]Archer[/name_m] [name_m]Hugo[/name_m]
[name_u]Jude[/name_u] Benjmain [name_m]Atlas[/name_m]
Perhaps
[name_m]Nikolai[/name_m] or [name_u]Nico[/name_u]?
[name_m]Franklin[/name_m] [name_u]Nico[/name_u] [name_u]Jude[/name_u]
[name_m]Nikolai[/name_m] [name_m]Franklin[/name_m] [name_u]Jude[/name_u] “[name_u]Niko[/name_u]”
[name_u]Jude[/name_u] [name_m]Franklin[/name_m] [name_m]Nicholas[/name_m]