Prime p₀= 1274158217615152781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=77, k=10, 2 4 2 10 2

STPT(12)	1274157243458003909	0 2 30 32 42 44 90 92 102 104 132 134	-974157148872
STPT(10)	1274157260088308777	0 2 30 32 42 44 54 56 84 86	-957526844004
SPT(16)	1274157340246685431	0 42 66 70 76 120 132 162 166 196 208 252 258 262 286 328	-877368467350
SPT(16)	1274157855047187623	0 6 38 44 80 104 108 144 170 206 210 234 270 276 308 314	-362567965158
SPT(16)	1274157911025500467	0 22 36 42 64 114 172 180 196 204 262 312 334 340 354 376	-306589652314
STPT(10)	1274158216006237337	0 2 12 14 42 44 72 74 84 86	-1608915444
STPT(10)	1274158340143849409	0 2 18 20 30 32 42 44 60 62	122528696628
SPT(16)	1274158404771216373	0 28 34 40 48 54 58 76 78 96 100 106 114 120 126 154	187156063592
SPT(16)	1274158471356680911	0 22 42 52 58 106 162 192 196 226 282 330 336 346 366 388	253741528130
SPT(16)	1274158735162722991	0 18 30 46 52 60 70 82 126 138 148 156 162 178 190 208	517547570210
STPT(10)	1274159074445747669	0 2 48 50 90 92 132 134 180 182	856830594888