This looks like the sort of thing that boxplots are not good for. Since they don't show the data, they are best used in conjunction with a display that shows the data.
It looks like you have whole number values only. Maybe something like this, then?
Yes its a whole number value, I have seen a couple of articles with a similar box plot, where the minimum value overlaps with the first quartile and vice versa.
The human experience of social transformation: Insights from comparative archaeology (fig 6)
Prophylactic Treatment with Vitamins C and B2 for Methotrexate-Induced Gastrointestinal Mucositis (fig 7 and fig 8)
Tumor-to-Blood Ratio for Assessment of Somatostatin Receptor Density in Neuroendocrine Tumors Using 68Ga-DOTATOC and 68Ga-DOTATATE (fig 1)