I can make it simple.
Three sessions per week with different focus:
1- Start by a fast run, fast runs for a 10 km should not be longer than 7 km, anything between 5 and 7 is good. The run should not be at full capacity because even 5 km is long for that, but it should be faster than your regular speed.
Some variations to this can be added later when you have progressed like 7 km with the first 3,5 km at a certain speed and the second 3,5 km at a faster speed.
More variations can by variating the speed during the run, there is no need to be disciplined for that.
2- The most important session is the HIIT, I usually do one of the following but I think they are not necessary for a 10 km, you can always shorten them:
a- 10 x (1min + 1min)
b- 10 x (2min + 1min)
c- 10 x upphill
3- Long steady distance, start these by the distance that you can complete at the same tempo and increase that, usually a 10% increase is good. Do the increase every other week (run the same distance twice). By the end when you reach the 10 km you can increase your speed until you reach your race speed. There is absolutely no harm in doing more than 10 km but don't go over 13 km.
How many weeks do you have before the race?
