There is no such Hadith in primary books of hadith corpus to my knowledge. The closest one to this Hadith is in Bukhari and Muslim:

https://sunnah.com/muslim:2754

https://sunnah.com/bukhari:5999

But there is no mention of the number 70.

This Hadith in your question can be found in the Book titled: “Understanding the Month of Glory Lessons on the Month of Ramadhan” (Page-13: Screenshot Attached). However, no reference has been given in the book.

And this book is available at: https://www.al-islam.org/understanding-month-glory-lessons-month-ramadhan

And this organization is run by Ahlul Bayt Digital Islamic Library Project (DILP) – A Shia Organization

Please also see:

https://youtu.be/w9VMLkYj1fE