import re
p = re.compile(r'\*\s*\({2}.*?\){2}\s*')
test_str = "Name Multiple Words Testing With 1234 Numbers and this stuff* ((Bla Bla Bla (Bla Bla) A40 & A41)) Name Multiple Words Testing With 3456 Numbers and this stuff2* ((Bla Bla Bla (Bla Bla) A42 & A43)) Name Multiple Words Testing With 78910 Numbers and this stuff3* ((Bla Bla Bla (Bla Bla) A44 & A45)) Name Multiple Words Testing With 1234 Numbers and this stuff4* ((Bla Bla Bla (Bla Bla) A46 & A47)) Name Multiple Words Testing With 1234 Numbers and this stuff5* ((Bla Bla Bla (Bla Bla) A48 & A49)) Name Multiple Words Testing With 1234 Numbers and this stuff6* ((Bla Bla Bla (Bla Bla) A50 & A51)) Name Multiple Words Testing With 1234 Numbers and this stuff7* ((Bla Bla Bla (Bla Bla) A52 & A53)) Name Multiple Words Testing With 1234 Numbers and this stuff8* ((Bla Bla Bla (Bla Bla) A54 & A55)) Name Multiple Words Testing With 1234 Numbers and this stuff9* ((Bla Bla Bla (Bla Bla) A56 & A57)) Name Multiple Words Testing With 1234 Numbers and this stuff10* ((Bla Bla Bla (Bla Bla) A58 & A59)) Name Multiple Words Testing With 1234 Numbers and this stuff11* ((Bla Bla Bla (Bla Bla) A60 & A61)) Name Multiple Words Testing With 1234 Numbers and this stuff12* ((Bla Bla Bla (Bla Bla) A62 & A63)) Name Multiple Words Testing With 1234 Numbers and this stuff13* ((Bla Bla Bla (Bla Bla) A64 & A65)) Name Multiple Words Testing With 1234 Numbers and this stuff14* ((Bla Bla Bla (Bla Bla) A66 & A67)) Name Multiple Words Testing With 1234 Numbers and this stuff15* ((Bla Bla Bla (Bla Bla) A68 & A69)) Name Multiple Words Testing With 1234 Numbers and this stuff16*"
print(re.split(p, test_str))

aW1wb3J0IHJlCnAgPSByZS5jb21waWxlKHInXCpccypcKHsyfS4qP1wpezJ9XHMqJykKdGVzdF9zdHIgPSAiTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmKiAoKEJsYSBCbGEgQmxhIChCbGEgQmxhKSBBNDAgJiBBNDEpKSBOYW1lIE11bHRpcGxlIFdvcmRzIFRlc3RpbmcgV2l0aCAzNDU2IE51bWJlcnMgYW5kIHRoaXMgc3R1ZmYyKiAoKEJsYSBCbGEgQmxhIChCbGEgQmxhKSBBNDIgJiBBNDMpKSBOYW1lIE11bHRpcGxlIFdvcmRzIFRlc3RpbmcgV2l0aCA3ODkxMCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmMyogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTQ0ICYgQTQ1KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmNCogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTQ2ICYgQTQ3KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmNSogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTQ4ICYgQTQ5KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmNiogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTUwICYgQTUxKSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmNyogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTUyICYgQTUzKSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmOCogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTU0ICYgQTU1KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmOSogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTU2ICYgQTU3KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmMTAqICgoQmxhIEJsYSBCbGEgKEJsYSBCbGEpIEE1OCAmIEE1OSkpIE5hbWUgTXVsdGlwbGUgV29yZHMgVGVzdGluZyBXaXRoIDEyMzQgTnVtYmVycyBhbmQgdGhpcyBzdHVmZjExKiAoKEJsYSBCbGEgQmxhIChCbGEgQmxhKSBBNjAgJiBBNjEpKSBOYW1lIE11bHRpcGxlIFdvcmRzIFRlc3RpbmcgV2l0aCAxMjM0IE51bWJlcnMgYW5kIHRoaXMgc3R1ZmYxMiogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTYyICYgQTYzKSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmMTMqICgoQmxhIEJsYSBCbGEgKEJsYSBCbGEpIEE2NCAmIEE2NSkpIE5hbWUgTXVsdGlwbGUgV29yZHMgVGVzdGluZyBXaXRoIDEyMzQgTnVtYmVycyBhbmQgdGhpcyBzdHVmZjE0KiAoKEJsYSBCbGEgQmxhIChCbGEgQmxhKSBBNjYgJiBBNjcpKSBOYW1lIE11bHRpcGxlIFdvcmRzIFRlc3RpbmcgV2l0aCAxMjM0IE51bWJlcnMgYW5kIHRoaXMgc3R1ZmYxNSogKChCbGEgQmxhIEJsYSAoQmxhIEJsYSkgQTY4ICYgQTY5KSkgTmFtZSBNdWx0aXBsZSBXb3JkcyBUZXN0aW5nIFdpdGggMTIzNCBOdW1iZXJzIGFuZCB0aGlzIHN0dWZmMTYqIgpwcmludChyZS5zcGxpdChwLCB0ZXN0X3N0cikp