make a plot the sampling results

Hello!
I have a double array 1603*2500. There are 1603 reactions and for each reaction I have found 2500 possible flux values using sampling, hence the array's dimensions.
I want to make a graph, where the reactions names will be found in y axis and the imprint of flux values (flux range-variability) will be found in x axis. I am giving a similar graph for example.
Namely, Ι am trying to find how can I make a graph like this..
Thank you!

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