Yes you're right, TWA was infact the largest operator of the Connie. They had:
C-69, L049, L749, L749A, L1049, L1049G, L1049H and L1649
But there were other large operators, KLM, Air France were among the biggest too. KLM operated: L049, L749, L749A, L1049C, L1049E, L1049G and L1049H. Air France operated: L049, L749, L1049C, L1049G and L1649.
CV990, the Maserati of the skies!