I suggest using TwinVNC. It works great. I use it 24/7 for more or less everything connecting to LinuxMint.

In fact I am writing this using TwinVNC.

I am using

"TwinVNC v0.8beta [MorphOS/PPC] by Seg (c) Dimension & Dpt22 (09.04.07)"

so it is quite old, but I remember having issues with newer versions. This one is fine.