You need to be sitting on your "sit bones". If you are having soft tissue damage, it sounds like you may be leaning too much on that area... could be you are stretched out too much and need to move your seat forward a little bit. Also, if your saddle is padded, you could possibly be sinking into the padding and making too much bodily contact with the saddle.
Some on the forum use seats with cutouts to help with this. I personally don't do well with cutouts. I prefer to go to a very minimally padded seat and a very minimal chamois in my shorts.
Sometimes heavier padding is not the answer. You want to get it so that most of your weight on the saddle is evenly distributed on your sit bones which somewhat "lifts" the soft tissue just enough that it doesn't get sore.
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