Prime p₀= 1006222382801388119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: HenkM
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1006221689050568411	0 2 36 38 78 80 120 122 156 158	-693750819708
SPT(18)	1006221790435072397	0 32 42 44 50 54 86 114 134 222 242 270 302 306 312 314 324 356	-592366315722
SPT(16)	1006222014662622301	0 12 40 60 76 126 130 136 162 168 172 222 238 258 286 298	-368138765818
SPT(16)	1006222029958264489	0 10 24 60 88 112 144 154 198 208 240 264 292 328 342 352	-352843123630
SPT(16)	1006222037331719209	0 22 30 52 88 94 102 112 180 190 198 204 240 262 270 292	-345469668910
SPT(16)	1006222143688315277	0 26 36 62 104 110 132 140 336 344 366 372 414 440 450 476	-239113072842
SPT(16)	1006222725640845397	0 6 34 126 132 142 174 220 276 322 354 364 370 462 490 496	342839457278
STPT(10)	1006223259094652717	0 2 24 26 42 44 60 62 84 86	876293264598
STPT(10)	1006223391249620837	0 2 42 44 72 74 102 104 144 146	1008448232718
TPT(14)	1006223685958454147	0 2 30 32 90 92 132 134 240 242 252 254 354 356	1303157066028
SPT(16)	1006223754549393043	0 4 16 114 118 130 138 166 258 286 294 306 310 408 420 424	1371748004924