As you have asked about the list of colleges that offers M.Tech in Civil Engineering through distance education, check below for the details

New Delhi: Indira Gandhi National Open University (IGNOU)
New Delhi: Sri Venkateshwar College
Himachal Pradesh: International centre for distance education and open learning
Noida: Amity school of distance learning
Patiala: Thapar University
Madhya Pradesh Bhoj (Open) University
Chhattisgarh: C.V. Raman University,
Jharkhand: Birla Institute of Technology (BIT), Mesra
Kolkata: Jadavpur University
Tripura : Tripura University
Uttar Pradesh: Saraswati Institute of Technology
West Bengal: University of Burdwan
Andhra Pradesh: Jawaharlal Nehru Technical University, JNTU
Andhra Pradesh: Nagarjuna University
Bangalore: Indian Institute of Science (IISC )
Chennai: Anna University
Chennai: Sathyabama University
Karnataka Open University
Karnataka: Manipal University
Tamil Nadu: Vinayaka mission Research foundation Deemed University
Visakhapatnam: Andhra University
Mumbai: Centre for Distance Education S.N.D.T Women’s University
Mumbai: Indian Institute of Technology
Mumbai: TATA institute of fundamental research
Pune: Bharati Vidyapeeth
Pune: Maharashtra Institute of Technology (MIT)
Pune: Vishwakarma Institute of Technology
Rajasthan: Birla Institute of Technology and Science, Pilani
Rajasthan: Singhania University
Udaipur: Rajasthan Vidyapeeth University