Prime p₀= 2506444658826926729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2506443716326182023	0 14 24 44 68 74 108 150 158 200 234 240 264 284 294 308	-942500744706
SPT(16)	2506443820180374259	0 28 54 64 72 78 82 94 168 180 184 190 198 208 234 262	-838646552470
SPT(16)	2506443889283805169	0 52 70 90 112 114 124 142 150 168 178 180 202 222 240 292	-769543121560
STPT(10)	2506443946344257807	0 2 30 32 42 44 54 56 84 86	-712482668922
SPT(16)	2506444307582636797	0 22 46 70 192 234 256 276 400 420 442 484 606 630 654 676	-351244289932
STPT(12)	2506444377351987209	0 2 12 14 42 44 60 62 90 92 102 104	-281474939520
STPT(10)	2506445198175168137	0 2 24 26 42 44 60 62 84 86	539348241408
SPT(16)	2506445295798840427	0 30 42 94 106 132 184 204 232 252 304 330 342 394 406 436	636971913698
STPT(10)	2506445306499526331	0 2 30 32 60 62 90 92 120 122	647672599602
STPT(10)	2506445751235892699	0 2 48 50 60 62 72 74 120 122	1092408965970
SPT(16)	2506446067042917803	0 48 74 84 114 144 174 206 258 290 320 350 380 390 416 464	1408215991074