Prime p₀= 2676392651403611051 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2676391546039105927	0 16 70 76 142 160 162 184 222 244 246 264 330 336 390 406	-1105364505124
STPT(10)	2676391627614689987	0 2 30 32 60 62 90 92 120 122	-1023788921064
SPT(16)	2676391840986555127	0 36 60 66 72 94 120 172 174 226 252 274 280 286 310 346	-810417055924
STPT(10)	2676392059299498341	0 2 6 8 48 50 90 92 96 98	-592104112710
SPT(16)	2676392436806479823	0 14 84 98 126 138 180 210 284 314 356 368 396 410 480 494	-214597131228
SPT(16)	2676392466147892963	0 18 30 34 58 120 214 216 298 300 394 456 480 484 496 514	-185255718088
STPT(10)	2676392670597430787	0 2 30 32 60 62 90 92 120 122	19193819736
SPT(16)	2676392769537932461	0 22 58 60 90 108 136 168 220 252 280 298 328 330 366 388	118134321410
STPT(10)	2676392782269376067	0 2 42 44 72 74 102 104 144 146	130865765016
STPT(10)	2676393057153361361	0 2 6 8 48 50 90 92 96 98	405749750310
SPT(16)	2676393398215235467	0 16 42 46 112 172 186 192 220 226 240 300 366 370 396 412	746811624416