Prime p₀= 2324923181906509937 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: vinn@[CNT]
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2324922507678290147	0 24 84 102 144 174 216 270 276 330 372 402 444 462 522 546	-674228219790
STPT(10)	2324922650681934011	0 2 36 38 78 80 120 122 156 158	-531224575926
SPT(16)	2324922775736182073	0 6 14 18 48 56 110 140 144 174 228 236 266 270 278 284	-406170327864
SPT(16)	2324922816295662571	0 6 18 48 58 76 136 156 172 192 252 270 280 310 322 328	-365610847366
SPT(16)	2324922841981320587	0 26 42 44 84 86 102 140 186 224 240 242 282 284 300 326	-339925189350
STPT(10)	2324922892073792831	0 2 6 8 18 20 30 32 36 38	-289832717106
STPT(10)	2324923264620341387	0 2 30 32 72 74 114 116 144 146	82713831450
STPT(10)	2324923307888714381	0 2 36 38 78 80 120 122 156 158	125982204444
STPT(10)	2324923445205065387	0 2 42 44 72 74 102 104 144 146	263298555450
SPT(16)	2324923624130797519	0 12 22 58 78 112 114 198 214 298 300 334 354 390 400 412	442224287582
SPT(16)	2324924598413863559	0 60 68 72 78 98 102 122 198 218 222 242 248 252 260 320	1416507353622