Grading: Its chain is very weak (da'if jiddan). It is the very same chain as in the earlier narration number (5856).
Technical note / Defect ('illah): Musa bin Zakariyya al-Tustari was inconsistent (idtirab) in this chain. Thus Ahmad bin Ya'qub al-Thaqafi narrated it from him (as with the author (al-Hakim) here); and al-Tabarani narrated it in "al-Mu'jam al-Kabir" (4148) (and via him Ibn Hajar in "Nata'ij al-Afkar" 4/ 248), saying: from Musa bin Zakariyya, from Shabab (the laqab of Khalifah bin Khayyat), from Abdullah bin Ishaq al-Hashimi, from Khawwat bin Salih bin Khawwat bin Jubayr, from his father, from his grandfather, who said: I fell ill. Both of these (chains) are errors (wahm). For Abdullah (who is also called Ubaydullah bin Ishaq al-Hashimi) narrates from his father, from Salih bin Khawwat bin Salih bin Khawwat bin Jubayr, from his father, from his grandfather, from Khawwat bin Jubayr. This is the "mahfuz" (preserved) form of this chain, as has passed.

Reference / Source: Ibn Abi al-Dunya narrated it in "al-Marad wa al-Kaffarat" (162), Ibn Qani' in "Mu'jam al-Sahabah" (as in Ibn Hajar's "Nata'ij al-Afkar" 4/ 247), al-Tabarani in "al-Mu'jam al-Kabir" (4148), Ibn al-Sunni in "Amal al-Yawm wa al-Laylah" (558), Ibn Adi in "al-Kamil" (6/ 146), Ibn Shahin in "al-Sahabah" (as in "Nata'ij al-Afkar" 4/ 247), al-Shajari in his "Amali" (2/ 280), Najm al-Din al-Nasafi in "al-Qand" (p. 165) and Ibn Hajar in "Nata'ij al-Afkar" (4/ 247), via various routes from Muhammad bin al-Hajjaj al-Baghdadi al-Musaffir, from Khawwat bin Salih bin Khawwat bin Jubayr, from his father, from his grandfather.
Grading: And this Muhammad bin al-Hajjaj is by agreement "matruk al-hadith".