Transparent material in EEVEE

The word you missed (while googling) is Caustics. In your first post (with picture) is a classic raytracing as known from the old internal renderer from blender. There is nothing of caustics there. As already mentioned by @0451 it doesn’t work with Eevee and I wouldn’t use cycles for it because cycles is not optimized for it. My recommendation would be LuxCoreRender.

Edit:
Actually, I found this, maybe that’ll do it.