I,ve got very similar fault on a mini R56 2011 model, DME7620987 i was fitting a second hand Ecu with the same part number and software number.
, read ISN from ecu and changed it in Cas, done encoding and car starts and runs OK, but have fault code
3044 PROTECTION AGAINST TAMPERING SWT: ENGINE-SPEED LIMITATION, STAGE 1
IMG_0820 mini fault.JPG You have insufficient rights to see the content. IMG_0821 mini ecu.JPG You have insufficient rights to see the content.