Prime p₀= 1042267570594233041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JagDoc
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1042267047318074939	0 98 102 138 140 158 170 182 240 252 264 282 284 320 324 422	-523276158102
SPT(16)	1042267103019304931	0 38 42 48 60 110 138 140 198 200 228 278 290 296 300 338	-467574928110
STPT(10)	1042267335657755189	0 2 12 14 90 92 168 170 180 182	-234936477852
STPT(10)	1042267472465308259	0 2 42 44 60 62 78 80 120 122	-98128924782
TPT(14)	1042267477561691669	0 2 72 74 78 80 138 140 222 224 288 290 378 380	-93032541372
SPT(16)	1042267567692438457	0 10 12 16 76 102 112 132 220 240 250 276 336 340 342 352	-2901794584
SPT(16)	1042267770491839559	0 44 48 50 62 98 120 122 180 182 204 240 252 254 258 302	199897606518
SPT(16)	1042267791594590761	0 78 88 156 166 180 186 198 298 310 316 330 340 408 418 496	221000357720
STPT(10)	1042268079934157777	0 2 30 32 42 44 54 56 84 86	509339924736
STPT(10)	1042268315618383277	0 2 30 32 72 74 114 116 144 146	745024150236
TPT(14)	1042268651190715367	0 2 180 182 234 236 402 404 420 422 444 446 462 464	1080596482326