The Tammy does not come with a case. Wex photographic sent as a freebie a Canon 300EG gadget bag when I bought a 70D from them. This bag fits the Tamron 150-600 perfectly! (Not with the camera attached).
I have posted some photos in the BIRDS IN FLIGHT thread. They were taken by chance as I was carrying the lens and 5DIII on a journey to my lab when I noticed an aerial dog fight. The lens locked on quite quickly to the two very distant birds high in a clear blue sky.
5D IV, 5DS R, 7D II, EOS-M, Powershot G3 X, 400mm DO II, 300/2.8 II, 1.4xTC III, 2xTC III, EF 1.8 STM, EF 70-200/4 IS, EF 24-105, 15-85, 100-400 II, Sigma 10-20, Sigma 150-600mm C, EOS-M 18-55, f/2 22, 11-22