4 Height, 4 Period, 136 Cycle, Looping solution that fits on my screen?

If only I didn't have to calcify.

Found this very cool assembly fairly early in my height explorations.  There's absolutely no space left, though, for a calcifier except on the input or one hex to the right.

Spent a lot of time on this dead end, and it *did* lead me to the silly string idea I ended up using (which didn't work for this).  Maybe someone else found the solution...