Hello M.,
Here is a proposal, using `style`:
@startmindmap
<style>
node {
LineColor transparent
BackGroundColor transparent
Padding 2
}
:depth(0) {
LineColor #181818
BackGroundColor #f1f1f1
Padding 10
Margin 10
}
:depth(1) {
LineColor #181818
BackGroundColor #f1f1f1
Padding 10
Margin 10
}
:depth(2) {
LineColor #181818
BackGroundColor #f1f1f1
Padding 10
Margin 10
}
</style>
* r0
** a
*** a1
**** a11
*** a2
**** a21
***** a211
** b
*** b1
**** b11
**** b12
*** b2
** c
@endmindmap

Enjoy...
See also doc. on `style` or `mindmap` on the plantuml web site.
Regards.