I run a couple of welders on 10 Ga. wire, one is a 180 amp TIG and the other is a Lincoln buzz box. I don't run either way up on amperage because I don't need to. I don't weld 1/2" plate.
You can run what you have into a junction box and then continue to your location with another piece or you could use a short extension cord; same difference with a little more utility on the cord.
AFA a second outlet, 30A circuits are supposed to be dedicated but if you are using the 2nd outlet as a secondary welding station to be used in lieu of the first and you label them, I think you can do this. Might not pass code, but if's safe enough.
You just can't have another device like a heater running of the same circuit. The breaker won't hold if both are in continuous used. That's the spirit of the code — why build something that won't work? Therefore, you can't according to the code.