From this datasheet I find the following diagram for your rotary switch:

It's very simple. Rotation simply moves the line from one position at the bottom of the above diagram to another. So you can connect A to any one of the bottom, numbered terminals. (But no more than one, of course.)
You mentioned the idea of diodes and because of that I'll take that approach and run with it. I think you understand it, already. So I'll capitalize on that fact. Transistor in his answer already gave a nod in the following direction and I think I'd like to elaborate it out a bit so you can see why he wrote, "...would require more and more diodes."
Here's the schematic diagram. Notice the pattern? Notice a whole lot of diodes?

simulate this circuit – Schematic created using CircuitLab
In the above diagram, I've numbered your LEDs and their current-limit resistors from #2 to #12 (holding #1 in reserve as that LED you are not implementing.) The wire-OR diodes are numbered from #13 to #78, so you'll need 66 of them. These are likely just 1N4148 diodes (cheap and available.)
Note that switch position #2 has only one diode going away from it and towards LED #2. But switch position #3 has two diodes going away from it, one towards LED #2 and one towards LED #3. Etc., until you reach switch position #12 where there are 11 diodes going to each of the LEDs.
You can work out the resistor value based upon your supply voltage rail's value (\$+V\$), the estimated voltage drop across the LED (\$V_\text{LED}\$), the estimated voltage drop across a 1N4148 diode (\$V_\text{D}\$), and the desired LED current (\$I_\text{LED}\$) as: \$R\approx \frac{+V-V_\text{LED}-V_\text{D}}{I_\text{LED}}\$. (Select a nearby standard value.)
This is probably why it would be cheaper/better to just get an MCU to do this for you. All those diodes are then just some internally computed logic expression. And you can even handle subtle things like whether or not your rotary switch is a make before break or break before make type and any appropriate debouncing issues that may "clean up" any noticeable issues you find.