This is my [Firewalker] [Gauss] build.
Why [Firewalker]? It patches over the ONLY weakness [Gauss] had which was status effects like toxin. While [Firewalker] is active, you can't be afflicted with statuses. This makes him the tankiest and most unkillable warframe in the game. You can bring this build into ANY content and as long as you roll appropriately and use 1 to rebuild his batteries, you will not die. Some steel path content can outdamage his battery but that's where you keep moving and use [Rolling Guard] when needed.
[Firewalker] also adds some support utility to [Gauss] which can help his viability on defensive mission types like defense, excavation, and interception. You can spread fire very quickly by using your one and this can not only deny large areas from enemies but also supply a status cure for your teammates. Running circles around defense objectives blocks them off from enemies and works very well to stun and slow would-be attackers. [Firewalker] works well with this [Gauss] build of high duration and low range. [Firewalker] and Kinetic Plating have identical ability lengths at 80.4 seconds.
[Firewalker] also makes [Gauss] even faster and it looks amazing. I feel like the ability fits [Gauss] very well thematically as well as practically so it's the ideal choice imo.
The arcanes are the ideal choices for survivability but I don't use or have either of them. I use Arcane [Rage] and Victory because I like shooting heads. The arcanes you use are totally up to you, I just think Aegis and Barrier would add even more tankiness.
This build works in almost any content. I use it to easily solo tridolons and profit taker. [Firewalker] completely cancels the eidolon magnetic procs and keeps you safe against profit taker. His four works very well against profit taker as well. Redline [Mausolon] goes brrrr. Redline in general is excellent against profit taker.
Bring this build into arbitrations to never die. Works well in steel path as well. This is my go-to build on my most played warframe, [Gauss]. He really does do it all; he's tanky, he's got amazing mobility, and he can buff dps massively thanks to redline.