Prime p₀= 1499681850136696451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1499680904627799463	0 10 34 48 58 100 136 166 168 198 234 276 286 300 324 334	-945508896988
STPT(10)	1499680933733596091	0 2 30 32 78 80 126 128 156 158	-916403100360
STPT(10)	1499681160416581691	0 2 6 8 48 50 90 92 96 98	-689720114760
SPT(16)	1499681160509822971	0 10 18 36 42 52 76 118 120 162 186 196 202 220 228 238	-689626873480
STPT(10)	1499681242923640937	0 2 30 32 42 44 54 56 84 86	-607213055514
SPT(16)	1499681751345717253	0 54 96 136 174 196 216 250 264 298 318 340 378 418 460 514	-98790979198
STPT(10)	1499681873809381811	0 2 6 8 48 50 90 92 96 98	23672685360
SPT(16)	1499681947693828043	0 6 14 36 60 74 110 246 248 384 420 434 458 480 488 494	97557131592
SPT(16)	1499682079636705747	0 6 60 76 100 126 136 142 144 150 160 186 210 226 280 286	229500009296
SPT(16)	1499682274398721723	0 4 10 18 58 66 70 150 154 234 238 246 286 294 300 304	424262025272
SPT(16)	1499682440175383179	0 4 22 30 42 60 70 72 160 162 172 190 202 210 228 232	590038686728