Prime p₀= 2499238704378668867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2499237318337548973	0 6 30 60 144 184 204 210 220 226 246 286 370 400 424 430	-1386041119894
SPT(16)	2499237615319687909	0 10 28 30 60 64 78 148 234 304 318 322 352 354 372 382	-1089058980958
TPT(16)	2499238430320337339	0 2 30 32 102 104 138 140 168 170 210 212 282 284 348 350	-274058331528
SPT(16)	2499238439313757741	0 6 46 66 78 88 90 118 138 166 168 178 190 210 250 256	-265064911126
STPT(10)	2499238476490939019	0 2 48 50 90 92 132 134 180 182	-227887729848
SPT(16)	2499238562194422353	0 6 26 54 96 104 116 144 170 198 210 218 260 288 308 314	-142184246514
SPT(16)	2499238741906856591	0 20 38 78 80 98 132 158 192 218 252 270 272 312 330 350	37528187724
TPT(14)	2499239147552684081	0 2 18 20 108 110 138 140 156 158 180 182 270 272	443174015214
STPT(10)	2499239640049621289	0 2 42 44 60 62 78 80 120 122	935670952422
STPT(10)	2499239922052687571	0 2 6 8 18 20 30 32 36 38	1217674018704
SPT(16)	2499240020478357421	0 6 12 16 30 82 102 180 202 280 300 352 366 370 376 382	1316099688554