Weekly Weather Report for 62568, Taylorville, Illinois. Looking at the weather in 62568, Taylorville, Illinois over the next 7 days, the maximum temperature will be -6℃ (or 21℉) on Saturday 30 th December at around 1 am. In the same week the minimum temperature will be -21℃ (or -5℉) on Monday 1 st January at around 7 am.