We have a more comprehensive review of open source load testing tools in our blog (including Tsung): https://k6.io/blog/comparing-best-open-source-load-testing-t...
Specifically, and with the disclaimer that I haven't used Tsung so much, I'd say the biggest difference is that k6 tests are scripted in a real language (JS) as compared to Tsung's XML.
But k6 also has a modern CLI UX that beats Tsung (and most other tools) by a mile, more integrations now and possibly support for more protocols, or at least more relevant ones (not sure if Tsung supports HTTP/2 for instance). Plus k6 is being very actively developed.
From what I've seen of Tsung I really like it though. Seems like a very performant and solid piece of software. But like mentioned earlier, it was made in another era. Just like Jmeter. If I ranked tools in terms of ascending "DevOps:ness" and UX for developers it'd probably be something like:
Lowest: Jmeter, Tsung
Low: Gatling
Medium: Apachebench, Siege, Hey, Wrk (simple testing)
High: Artillery, Locust
Highest: k6, Vegeta (though Vegeta is only for simple/static tests)
I wrote an article about this topic also: how most load testing tools we have are just not geared for developers and DevOps: https://k6.io/blog/another-load-testing-tool