Yes you can laminate (or sister) the joists togther, just make sure you use lots of nails! and they must be full length ( sitting both ends on load bearing surfaces). Posts (not jacks) could be used to great advange under the tank to the ground. Yes concrete should be used as a footing. usually 18" square is good But one lare one for all posts may be easiest. The depth will have more varaibles, but the deeper the better. Frost level (if any) should be know to factor in for the depth of the footing.
Also you didn't give any info on the load bearing walls.
If your house is a above ground only sitting on blocks than there is no load bearing in the outer wall and the full weight of the tank must be supported with new or extra supports.
If you have outer cement walls with footings than that can help with weight transfer.
In the end getting someone with the knowledge (engeneer) in to look and see any unknown info is the best way to go.
Good luck