Prime p₀= 2316571246008761639 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: JonS
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2316569919341548111	0 10 28 30 36 66 72 82 96 106 112 142 148 150 168 178	-1326667213528
SPT(16)	2316570154798605163	0 6 28 30 34 64 76 90 94 108 120 150 154 156 178 184	-1091210156476
STPT(10)	2316570270102118739	0 2 18 20 60 62 102 104 120 122	-975906642900
STPT(10)	2316570336639395867	0 2 30 32 60 62 90 92 120 122	-909369365772
STPT(10)	2316571010474366687	0 2 30 32 42 44 54 56 84 86	-235534394952
SPT(16)	2316571061139555667	0 10 16 72 150 166 192 214 222 244 270 286 364 420 426 436	-184869205972
SPT(16)	2316571960377199919	0 14 20 78 84 92 128 174 248 294 330 338 344 402 408 422	714368438280
SPT(16)	2316572135963663443	0 48 60 118 138 160 186 210 214 238 264 286 306 364 376 424	889954901804
STPT(10)	2316572370511727267	0 2 30 32 60 62 90 92 120 122	1124502965628
STPT(10)	2316572509822759127	0 2 30 32 60 62 90 92 120 122	1263813997488
SPT(16)	2316572821821036797	0 56 62 140 186 204 266 296 300 330 392 410 456 534 540 596	1575812275158