Hi there!

Well it is difficult to predict anything regarding admission into NITs, because admission to any institutes depends on various unavoidable factors like:

1- Difficulty level of examination

2- No. of seats available in institutes

3- No. of students seeking for admission

4- Category of an individual

5- Closing rank of programs and many more.

------But we can get a rough idea of admission by analyzing previous years trend.

With 78 percentile in JEE mains, your general and category rank would be anywhere in between 225060 to 253000 and 10000 to 11000 respectively as per our JEE mains rank predictor

https://engineering.careers360.com/jee-main-rank-predictor

----As per previous years data, the maximum closing rank for SC category at various NITs is around 4000-7000.

To check previous years closing rank for various NITs, click here

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

------- Considering these data you have low chances for getting into NITs

However the closing rank for SC category in some NITs considering home state quota is around 12000-15000, so you have some chances for getting into NIT of your home state, to know about closing rank please comment your home state name

Also if you wish to know about the colleges in which you may get admission, use JEE mains college predictor tool

https://engineering.careers360.com/jee-main-college-predictor

I hope you get answer to your question!