A related term is grand-knight.
Amtgard has several belted lines famous for their length. Sir Auromax's consecutive Sword Knights come to mind. Auromax squired Lief who squired Sparhawk who squired Ice who, in turn, squired Kerb. All five are Sword Knights. The tree goes even deeper since Auromax himself was squired to Thorn Crossbearer but Thorn wasn't a Sword Knight. Since knights frequently have multiple squires this leads to an entire 'knightly family'.