I have found the following license:
Copyright (c) [year] [name]
Please read carefully the following terms and conditions and any accompanying documentation before you download and/or use this software and associated documentation files (the "Software").
The authors hereby grant you a non-exclusive, non-transferable, free of charge right to copy, modify, merge, publish, distribute, and sublicense the Software for the sole purpose of performing non-commercial scientific research, non-commercial education, or non-commercial artistic projects.
Any other use, in particular any use for commercial purposes, is prohibited. This includes, without limitation, incorporation in a commercial product, use in a commercial service, or production of other artefacts for commercial purposes.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
You understand and agree that the authors are under no obligation to provide either maintenance services, update services, notices of latent defects, or corrections of defects with regard to the Software. The authors nevertheless reserve the right to update, modify, or discontinue the Software at any time.
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. You agree to cite the [someone] in [something].
After asking the author(s) it seems they also don't really know what license this is, and they've just pointed out it is actually somewhat common in it's usage.
Actually it seems to be used in this project, which seems to be a project by someone from the "Technische Universität Braunschweig, Max-Planck-Gesellschaft", a well known German university. Thus, I think they should know what they are doing there…
It seems to be popular in the scientific community in general, e.g. it is also used here, although the BSD 3-clause license is also in the repo and thus I am not sure about what applies. Or also in these projects by David Stutz.
So is there a name for that license? Is it somewhat "official"?
Apart from that, could one copy that license and just use it?
Or, I would try to ask now, if it is good to use. But as I know, this subjective view may not be good for Stack Exchange, I'll just ask whether you see any obvious/inherit inconsistencies or other bad things that would make it totally unsuitable. (I don't want to promote it here, if it is bad.)
Note: Before confusion comes up: I know this is not an (OSI or FSF approved) open-source/free software license. It obviously restricts the "Fields of Endeavor" (point 6) and violates the "freedom 0". However, as it is used in open-source software, I guess this forum is correct.