How many palaces after Shido?

I'm curious to know, could you please clarify for me - are you referring to the historical sequence of imperial palaces in Japan, specifically after the Shido Palace? If so, I'm wondering, how many palaces followed the Shido Palace in terms of chronological order or in terms of significance within the imperial lineage? It's an intriguing question that delves into the rich history of Japanese imperial architecture and traditions. Could you elaborate on your query or provide any additional context to help me give a more accurate answer?