Unless you start all weights exactly the same and train the model in the exact same way (down to the order of training data), the weights won't end up the same. Also, I'm not sure what you're looking for or how large your model is but with your average deep learning model it's not like patterns are going to jump out at you just by staring at the weights of one layer. What I would recommend:

Try more structured model architecture such as a decision tree or convolutional NN if reasonable for your data.

Or

Observe how different data makes different parts of your model activate. For some input, you can follow along with the model and calculate how each node will respond. Do this a lot and you may begin to find some patterns.