Hello Aspirant! If you're from general category, with this rank it's impossible for you to get any NIT or IIIT with any branch as the cutoff for NIT's and most probably IIIT's are very high. You need to have a rank under 10000 to get one. You may get your home state NIT if you're from Haryana or Mizoram as their cutoffs are low for general category home state students as compared to other NIT's.
You can try in other state level counsellings like JAC Delhi or JAC Chandigarh as chances of getting Civil branch is moderate.
You can also use this link to predict your college:
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp