I didn't enjoy running until I worked myself up to doing longer distances, like 8k+ runs - before then it was a painful chore I felt obligated to do, now I go stir crazy if I don't get out for a run at least twice a week.
That being said, even now, runs are a slog until I get into my groove, which happens around the ~3k or 15-20 minute mark, but once I get there I'm happy to keep going for another 10-20k
You mention going by time and not distance - I assume you are on a treadmill? Personally I can't stand treadmills, it's monotonous, and there isn't as much air movement around you, so it's harder to thermoregulate.