Prime p₀= 2402438974455842417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: SEARCHER
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2402437662508548337	0 46 52 66 70 72 106 114 142 150 184 186 190 204 210 256	-1311947294080
SPT(16)	2402437813606904419	0 22 34 40 48 64 90 108 124 142 168 184 192 198 210 232	-1160848937998
STPT(10)	2402438359960798097	0 2 30 32 120 122 210 212 240 242	-614495044320
STPT(10)	2402438504528847179	0 2 42 44 150 152 258 260 300 302	-469926995238
STPT(10)	2402438799143722481	0 2 6 8 18 20 30 32 36 38	-175312119936
SPT(16)	2402438856066175099	0 4 24 118 138 160 162 180 202 220 222 244 264 358 378 382	-118389667318
SPT(16)	2402439440279496311	0 12 26 50 78 158 168 198 350 380 390 470 498 522 536 548	465823653894
STPT(10)	2402439771179557787	0 2 30 32 42 44 54 56 84 86	796723715370
STPT(10)	2402439897612517067	0 2 30 32 42 44 54 56 84 86	923156674650
SPT(16)	2402439904220472607	0 10 46 66 82 112 124 142 234 252 264 294 310 330 366 376	929764630190
SPT(16)	2402440267639894819	0 10 30 42 58 72 78 120 172 214 220 234 250 262 282 292	1293184052402