Really you are only limited by rod length. This piece covers it a bit. One alternative for fishing those conditions would be to use a striker indicator which might not exactly be tight line nymphing, but can be effective nonetheless.
Try a little more weight. Get a Leatherman pliers/knife combination and some weights to test some things. You can obtain pinch-on lead weights that can be quickly attached to your line with your pliers. With some effort, a pocket knife can usually remove said weights by prying them open. If you get the weight right, then you can buy swiveling weights of the ...
Don't turn the leader over fully
George Harvey leader formulation to introduce slack into the leader
Tight line nymphing can also be a great technique for reducing drag when casting across ...