Yes, find an example that proofs that "not getting insulted is a protected right in Germany that you generally lawfully defendable under the "Notwehr" laws.", as you claim.

Neither of your sources supports "you may hit someone who keeps insulting you.". If you had linked the original sources, it would have been obvious that the examples are taken out of context.

Support for the general argument: https://de.wikipedia.org/wiki/Notwehr_(Deutschland)

> Bereits der Diebstahl mittelwertiger Gegenstände darf nach herrschender Meinung jedoch auch mit einer tödlichen Abwehrhandlung vereitelt werden, sollten mildere Mittel (wie Warnschüsse oder Schüsse auf die Beine) nicht zum Erfolg geführt haben bzw. nicht zur Verfügung stehen.[73][55][56]

> However, according to prevailing opinion, even the theft of items of moderate value may be thwarted by lethal self-defense if less severe measures (such as warning shots or shots aimed at the legs) have failed or are not available.[73][55][56]

More specifically, a teacher slapping a child to defend against six year old children: https://www.lawblog.de/archives/2016/09/08/richter-billigen-... https://famos.jura.uni-wuerzburg.de/wp-content/uploads/2017/...

He was also hit by the six year olds, but the court explicitly mentions the attack on his honor as well as foundation for their judgement.

Slapping the child was deemed to be the mildest mean for defence and therefore lawful.

Just to iterate on the first point, even theft of values starting as low as 100 Euro could justify lethal force. Knowing that honor is a protected right, it should not be surprising that hitting somebody can be justified when one get heavily and continuously insulted.