Coffee Appreciation

My shots keep coming out waaaay too fast, i've made the grind finer but still coming out way too fast, I can only assume it's a result of the tamper not covering all of the portafilter so when I tamp it doesn't compress all of the coffee so I need to tamp a few other bits too. Leaving some bits where the water can just rush through. I'm getting myself a better tamper anyway so hopefully that'll sort it but has anyone got any other ideas?

Sure you can't get your grind finer? What are you using?

Are you tamping hard enough?

Are you distributing the coffee in the portafilter evenly before tamping?