This was part of some 1986 Japanese broadcast where the host goes looking for "Mario's father". At the end of the video he winds up at Nintendo's Kyoto HQ and told to head to the "R&D2 Department" to find Mario's father.
Once there he first bumps into an unnamed (hard to identify the developer) who points the host in the direction of the development team.
Then, we see 3 development staff from "R&D2" and Mario pop up.
Takashi Tezuka, Koji Kondo, and Kenji Miki
Out of the three, it is Kenji Miki who assumes the father of Mario and begins to answer questions about his origin to the host.
Mario's Father Japanese Video
Which leads to some questions:
1. Was R&D2 the official developer of Super Mario Bros. and the R&D4/EAD official group formalize shortly after?
2. Kenji Miki, who was a key development staff in early Nintendo but there was so much information missing on him — this would link him to being a core developer on Super Mario Bros.