Prime p₀= 2310592664150810441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 10 2 10 2 94 2 (?)
a_n: 0 2 96 98 108 110 120 122 216 218
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: 218
Found by: FritzB
db: batch=81, k=10, 2 94 2 10 2

SPT(16)	2310591883706833367	0 42 90 134 174 216 224 254 342 372 380 422 462 506 554 596	-780443977074
SPT(16)	2310592110063397421	0 8 20 48 50 60 78 92 156 170 188 198 200 228 240 248	-554087413020
SPT(16)	2310592154644950691	0 28 30 42 72 160 162 198 202 238 240 328 358 370 372 400	-509505859750
STPT(10)	2310592194816592109	0 2 42 44 150 152 258 260 300 302	-469334218332
STPT(10)	2310592255426152959	0 2 48 50 60 62 72 74 120 122	-408724657482
STPT(10)	2310592529585383229	0 2 18 20 30 32 42 44 60 62	-134565427212
STPT(10)	2310592946414639837	0 2 30 32 42 44 54 56 84 86	282263829396
SPT(16)	2310593266182477971	0 6 38 92 168 182 198 200 258 260 276 290 366 420 452 458	602031667530
SPT(16)	2310593874650547949	0 12 24 40 42 52 112 150 172 210 270 280 282 298 310 322	1210499737508
SPT(16)	2310593882068060783	0 6 18 36 76 78 138 148 276 286 346 348 388 406 418 424	1217917250342
SPT(16)	2310593931137047741	0 22 28 40 42 48 66 70 78 82 100 106 108 120 126 148	1266986237300