I 've found an interesting table of numbers in an old issue of JMR, dedicated to astounding trivia regarding primes.
Erasing all the digits in the table's footnotes I got a challenging, albeit solvable puzzle:
The XX consecutive primes from X to XX sum up to the prime number XXX.
Also when arranged in groups of three, each group sums up to a prime number.
Furthermore, those partial sums with their digits reversed, also sum up to the same sum as before the reversal!
Try to reconstruct the trivia : both the table and the text.
(In reply to further study
One of your candidate lists, when arranged in XX/3 disjoint triples of primes provides the full solution.
As to the ambiguity of the wording, - I changed nothing in the original text- just substituted Xes for digits.
Carry on your good work- you are very close- just find the right list and the right partition.
Small hint : number 2 cannot be a part of any triple.