Prime p₀= 999175867804410419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	999175398120824311	0 18 52 66 72 118 162 178 210 226 270 316 322 336 370 388	-469683586108
STPT(10)	999175493422212311	0 2 6 8 18 20 30 32 36 38	-374382198108
STPT(12)	999175493906194901	0 2 18 20 48 50 240 242 270 272 288 290	-373898215518
SPT(16)	999175611986493607	0 70 94 136 144 154 156 172 204 220 222 232 240 282 306 376	-255817916812
SPT(16)	999175749568791673	0 6 40 156 160 240 258 264 310 316 334 414 418 534 568 574	-118235618746
SPT(16)	999175849786204109	0 42 62 92 138 144 210 264 308 362 428 434 480 510 530 572	-18018206310
SPT(16)	999176809392278669	0 8 32 48 74 78 80 120 122 162 164 168 194 210 234 242	941587868250
STPT(10)	999177056520348047	0 2 24 26 42 44 60 62 84 86	1188715937628
TPT(14)	999177187092898547	0 2 30 32 114 116 192 194 360 362 402 404 420 422	1319288488128
STPT(10)	999177833791654211	0 2 30 32 60 62 90 92 120 122	1965987243792
SPT(16)	999177904810080403	0 28 64 78 94 148 160 174 220 234 246 300 316 330 366 394	2037005669984