Sawiab wrote:Is my overweight causing this higher heart rates during my training?
And shall I ignore it or shall I stop then?
Yes. And lack of fitness. You're asking your heart to do way more work than it has been accustomed to. It is not adapted to. Excess weight increases the demands on the heart even further. Think of driving up a long mountain grade in an empty car versus one loaded with all your worldly possessions. The good news is that consistent training will change all that.
The important thing to remember is that heart rate numbers don't mean much by themselves. They are highly variable by individual, and change within an individual due to exercise. For instance my max HR is probably still around 200 BPM. I haven't measured it in years, because there is no point, but occasionally in races have seen how high it can go. My lactate threshold is between 175-180 BPM, which is the highest average rate I can sustain for somewhere between 30-60 minutes. Since HR is so variable, I only mention this because my heart rate for everything runs higher than most other athletes I know. That is probably genetic.
From my experience, your heart rates are not moderate, as you hit my LT and close to my max in a few minutes. My advice is to slow down. A lot. But you should discuss with your trainer, and take the advice of some anonymous knucklehead on an internet discussion forum with a grain of salt.
I advocate for the Maffetone Method of low heart rate training. It is very safe, very enjoyable, and still very effective at building fitness. Leave the high intensity for the racers and cross fitters.