I computed an order 30 magic cube of 27000 distinct primes with magic sum 29999490.
This is difficult to publish as it is so large.
It looks like
438131 1273157 160309 2145937 982381 1831589 312073 765283 417899 1673071 336683 390421 2567569 1371193 334049 248639 428899 2405443 1801733 115201 878191 2266129 49019 1369057 437519 1847969 1047367 598729 667829 838021
…………………………….
631391 990487 2196361 47819 1133857 579473 1511863 1800553 344453 763573 1141667 1156033 496333 402299 1803583 2912401 11471 677983 1063399 334661 363887 1435607 577531 1212973 1409917 1570753 688717 242591 1757897 739957
Michael Hürter