Prime p₀= 2625306720306476411 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: Dirk Broer
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2625305452403793493	0 6 88 118 136 144 168 174 250 256 280 288 306 336 418 424	-1267902682918
STPT(10)	2625305535911315357	0 2 60 62 72 74 84 86 144 146	-1184395161054
STPT(10)	2625305967063629501	0 2 36 38 78 80 120 122 156 158	-753242846910
TPT(14)	2625306157777988219	0 2 12 14 42 44 78 80 132 134 138 140 192 194	-562528488192
SPT(13)	2625306166186983673	0 6 60 66 78 108 168 228 258 270 276 330 336	-554119492738
STPT(10)	2625306262411016531	0 2 6 8 48 50 90 92 96 98	-457895459880
SPT(16)	2625306849927620107	0 16 36 40 112 124 132 166 240 274 282 294 366 370 390 406	129621143696
STPT(10)	2625307405455226337	0 2 24 26 42 44 60 62 84 86	685148749926
STPT(10)	2625307567490994299	0 2 12 14 90 92 168 170 180 182	847184517888
SPT(16)	2625307690372924397	0 32 42 66 74 86 120 126 200 206 240 252 260 284 294 326	970066447986
SPT(16)	2625307924043682181	0 22 58 72 100 162 208 210 238 240 286 348 376 390 426 448	1203737205770