Mammillaria for identification please

Can the experts please identify this Mammillaria. Now in full bloom.
My collection is not so big, but lets begin with this one. I'm also not quite sure the difference between a Mamm (small flowers in a circle??), a Coryphantha (big flowers on the top centre???), a Thelocactus and a Escobaria.
Regards, Mercia

Hi Mercia!
I´m by no means an expert on mammillarias,but to me it seems to be Mammillaria matudae.It will eventually grow to be very long and fall over,but always flowers profusely.
Regards Thord

Thank you so much Thord.
Regards, Mercia

Hi Mercia, and Thord,
The flowers look right for M. matudae, and seem that the plant should be from the Polyacanthae series, but I'm not convinced that the spines fit that actual species. I know that matudae is quite variable, so I can't be sure.
I count 4 dark central spines arranged in a cross layout, with the lowest of these just about the longest, and about 20-25 radial spines, the lower thinner, the upper stronger.
My thoughts are tending towards a form of M. nunezii rather than M. matudae, but I am just sharing thoughts rather than giving a firm opinion.
Do you have a picture of the plant from the side, which perhaps will show the spines better

i think that the suggestion of chris is right.
could it be m.supraflumen?
(referred to m.nunezii)
https://mammillaria.forumotion.net/t1292-mammillaria-supraflumen


here there is a selection of m.matudae family....
https://mammillaria.forumotion.net/t1212-mammillaria-matudae

Dear All
Thank you very much for everyone's input regarding this Mamm.
Chris, please see photo's attached.
Height 13cm
Diameter at the base 10cm
Diameter at the top 9cm
The flowers are NOT PINK, it is purple/red. The spines on top has a brownish/purple colour.
Regars, Mercia