Prime p₀= 2338317946250725247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Xenon
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2338316341559229077	0 2 12 14 54 56 102 104 114 116 132 134 252 254	-1604691496170
TPT(14)	2338316588194387811	0 2 36 38 48 50 138 140 150 152 168 170 216 218	-1358056337436
STPT(10)	2338316785615436411	0 2 30 32 78 80 126 128 156 158	-1160635288836
SPT(16)	2338316918348663663	0 14 38 60 66 80 104 108 116 120 144 158 164 186 210 224	-1027902061584
SPT(16)	2338317425237034809	0 2 14 80 102 120 164 204 248 288 332 350 372 438 450 452	-521013690438
STPT(10)	2338317865883579537	0 2 12 14 42 44 72 74 84 86	-80367145710
SPT(16)	2338318159000684801	0 42 72 90 168 292 300 310 318 328 336 460 538 556 586 628	212749959554
SPT(16)	2338318660428883771	0 70 148 156 162 178 210 228 280 298 330 346 352 360 438 508	714178158524
SPT(16)	2338318901054796787	0 10 106 112 130 142 144 156 220 232 234 246 264 270 366 376	954804071540
STPT(10)	2338318960588975757	0 2 30 32 42 44 54 56 84 86	1014338250510
SPT(16)	2338319165505243229	0 88 108 124 154 220 268 294 334 360 408 474 504 520 540 628	1219254517982