Prime p₀= 2310470363010941849 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: FritzB
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2310469914081144251	0 8 42 72 80 140 182 198 212 228 270 330 338 368 402 410	-448929797598
SPT(16)	2310470077586118397	0 4 22 42 52 54 76 82 174 180 202 204 214 234 252 256	-285424823452
STPT(10)	2310470100118984499	0 2 12 14 90 92 168 170 180 182	-262891957350
STPT(10)	2310470210966723621	0 2 6 8 48 50 90 92 96 98	-152044218228
SPT(16)	2310470222419445717	0 24 56 72 164 182 186 192 284 290 294 312 404 420 452 476	-140591496132
SPT(16)	2310470307342475139	0 30 42 92 98 102 120 158 162 200 218 222 228 278 290 320	-55668466710
SPT(16)	2310470496716551313	0 20 36 84 134 200 204 216 224 236 240 306 356 404 420 440	133705609464
SPT(13)	2310470604301975393	0 48 120 180 186 210 258 306 330 336 396 468 516	241291033544
SPT(16)	2310470760016810459	0 12 40 124 144 148 154 168 214 228 234 238 258 342 370 382	397005868610
SPT(16)	2310470936180626519	0 24 42 48 84 132 198 210 222 234 300 348 384 390 408 432	573169684670
STPT(10)	2310470948944678139	0 2 12 14 90 92 168 170 180 182	585933736290