I think you could use an MPPT 75/10 connected to the Solar input.
The MPPT needs to be manually configured for 12v battery, 14V max output voltage and 7A max output current. then you can connect the higher voltage solar module.
This can also be connected to either of the high or low current outputs with no current restriction.
Thank you very much! Could I also charge via the domestic outlet? According to the data sheet, I know that this should be possible up to 10a. However, I have read several times that this is a theoretical value and not recommended.