Cicho\'n's maximum

Assuming four strongly compact cardinals, it is consistent that all entries in Cicho'n’s diagram are pairwise different, more specifically that $${\mathrm{\aleph }}_1<\mathrm{a}\mathrm{d}\mathrm{d}(\mathrm{n}\mathrm{u}\mathrm{l}\mathrm{l})<\mathrm{c}\mathrm{o}\mathrm{v}(\mathrm{n}\mathrm{u}\mathrm{l}\mathrm{l})<\mathfrak{b}<\mathrm{n}\mathrm{o}\mathrm{n}(\mathrm{m}\mathrm{e}\mathrm{a}\mathrm{g}\mathrm{e}\mathrm{r})<\mathrm{c}\mathrm{o}\mathrm{v}(\mathrm{m}\mathrm{e}\mathrm{a}\mathrm{g}\mathrm{e}\mathrm{r})<\mathfrak{d}<\mathrm{n}\mathrm{o}\mathrm{n}(\mathrm{n}\mathrm{u}\mathrm{l}\mathrm{l})<\mathrm{c}\mathrm{o}\mathrm{f}(\mathrm{n}\mathrm{u}\mathrm{l}\mathrm{l})<2^{{\mathrm{\aleph }}_0}\mathrm{.}$$