Prime p₀= 2395431246350262089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2395430100330001619	0 30 54 62 132 140 164 170 192 198 222 230 300 308 332 362	-1146020260470
SPT(16)	2395430140430805677	0 6 12 24 42 56 62 66 80 84 90 104 122 134 140 146	-1105919456412
TPT(14)	2395430233029401219	0 2 150 152 192 194 240 242 288 290 372 374 378 380	-1013320860870
STPT(10)	2395430714025801209	0 2 18 20 30 32 42 44 60 62	-532324460880
STPT(10)	2395430863163042867	0 2 30 32 42 44 54 56 84 86	-383187219222
STPT(10)	2395430956070762711	0 2 6 8 48 50 90 92 96 98	-290279499378
SPT(16)	2395431990229805377	0 36 54 102 144 162 186 196 300 310 334 352 394 442 460 496	743879543288
SPT(16)	2395432237926428243	0 14 50 78 86 96 114 116 138 140 158 168 176 204 240 254	991576166154
SPT(16)	2395432778409361519	0 12 28 30 34 52 112 118 174 180 240 258 262 264 280 292	1532059099430
SPT(16)	2395433516556444407	0 60 86 156 186 234 242 302 354 414 422 470 500 570 596 656	2270206182318
SPT(16)	2395433551532573131	0 6 30 40 66 82 118 132 136 150 186 202 228 238 262 268	2305182311042