Prime p₀= 2305788735969489479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2305787223534716527	0 36 82 100 124 130 156 214 222 280 306 312 336 354 400 436	-1512434772952
TPT(16)	2305787851255204229	0 2 18 20 42 44 90 92 102 104 132 134 210 212 312 314	-884714285250
SPT(16)	2305788050698782673	0 6 46 60 114 168 226 228 286 288 346 400 454 468 508 514	-685270706806
TPT(14)	2305788073149447959	0 2 42 44 78 80 210 212 228 230 408 410 462 464	-662820041520
STPT(10)	2305788146423343887	0 2 30 32 42 44 54 56 84 86	-589546145592
STPT(10)	2305788205568786831	0 2 6 8 48 50 90 92 96 98	-530400702648
SPT(16)	2305789116498700477	0 10 22 54 82 126 144 150 166 172 190 234 262 294 306 316	380529210998
STPT(10)	2305789238796219731	0 2 36 38 78 80 120 122 156 158	502826730252
SPT(16)	2305789719355587293	0 14 20 24 44 180 230 234 236 240 290 426 446 450 456 470	983386097814
TPT(14)	2305789771624530239	0 2 12 14 180 182 198 200 252 254 270 272 312 314	1035655040760
SPT(13)	2305790262932785789	0 12 24 42 84 90 132 174 180 222 240 252 264	1526963296310