This night is laylatul qadr (the night of glory) when the First Surah of the Quran was revealed (Surah Alaq).
The night implies the same night which has been called lailat-ul-qadr in Surah Al-Qadr (97). There it has been said:
`We sent it down in a Night of Glory," (97:1)
`We sent it down in a blessed Night." (44:3)
Then the Qur'an itself has told that it was a night of the month of Ramadan (Al-Baqarah).
Your question about what is distinct is answered below:
The website I based my answer on is English Tafsir
and verse 4 is different. It says:
" This was a night in which every matter is decided wisely by Our Command."
The question about what is distinct might be this:
(1)- The Command is based on wisdom and that there is no likelihood of errors or weaknesses and
(2)- That it is a firm and stable decision and that it lies in no one's power to change it.
The Command might be the distinct thing. What is the Command?
In Surah Al Qadr, the same thing is said:
"The angels and the Spirit (Angel Gabriel) descend in it with every decree, by the leave of their Lord." (97:4)
This means that it is such a Night in the Divine administration of Allah on which He decided the destinies of indivuals and nations and entrust His decisions to His angels so that they apply them correctly.
Some commentators among whom Hadrat
Ikrimah is most prominent, have been involved in the misunderstanding that this is the 15th night of Sha'ban, because in some traditions it has been said that the destinies of people are decided during that night. But Ibn 'Abbas, IbnUmar, Mujahid, Qatadah, Hasan Basri, Sa' id bin Jubair, Ibn Zaid, Abu Malik, Dahhak and many other commentators are agreed that this is the same night of Ramadan, which has been called lailat-ul-qadr, for the Qur'an itself has stated this.
To summarise up, the Night mentioned is Laylatul-Qadr and the distinct thing is the Command of the destinies of people.
And Allah knows best.