Prime p₀= 2396898030788419967 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: JonS
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2396896420480601453	0 24 30 50 60 68 126 150 254 278 336 344 354 374 380 404	-1610307818514
TPT(14)	2396896730101352291	0 2 66 68 96 98 156 158 168 170 180 182 198 200	-1300687067676
STPT(10)	2396896758858959339	0 2 48 50 90 92 132 134 180 182	-1271929460628
SPT(16)	2396897731911773339	0 20 30 42 60 62 90 134 138 182 210 212 230 242 252 272	-298876646628
SPT(16)	2396897885369503261	0 16 28 48 72 82 130 132 196 198 246 256 280 300 312 328	-145418916706
SPT(16)	2396897986168321267	0 42 76 112 120 216 240 246 280 286 310 406 414 450 484 526	-44620098700
STPT(10)	2396898279127746767	0 2 42 44 102 104 162 164 204 206	248339326800
SPT(16)	2396898409837140707	0 36 42 92 114 144 150 156 170 176 182 212 234 284 290 326	379048720740
STPT(10)	2396898616412477459	0 2 18 20 60 62 102 104 120 122	585624057492
SPT(16)	2396898950085185839	0 10 28 60 72 88 118 142 270 294 324 340 352 384 402 412	919296765872
SPT(16)	2396898994245035339	0 12 122 152 212 252 254 290 294 330 332 372 432 462 572 584	963456615372