Prime p₀= 2216689410176833367 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: Penguin
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2216688603971255147	0 2 84 86 240 242 270 272 282 284 312 314 324 326	-806205578220
STPT(10)	2216688608159799197	0 2 54 56 72 74 90 92 144 146	-802017034170
SPT(16)	2216688691836791327	0 42 86 116 126 156 254 266 390 402 500 530 540 570 614 656	-718340042040
STPT(10)	2216689285342177109	0 2 48 50 60 62 72 74 120 122	-124834656258
TPT(14)	2216689326514155299	0 2 30 32 42 44 78 80 198 200 252 254 312 314	-83662678068
SPT(16)	2216689397317454797	0 40 66 114 124 154 156 166 180 190 192 222 232 280 306 346	-12859378570
STPT(10)	2216689525005120437	0 2 30 32 42 44 54 56 84 86	114828287070
SPT(16)	2216689694037134539	0 48 90 100 114 130 150 160 192 202 222 238 252 262 304 352	283860301172
SPT(16)	2216689746395342321	0 38 60 98 116 140 158 168 200 210 228 252 270 308 330 368	336218508954
STPT(10)	2216690124251293877	0 2 42 44 132 134 222 224 264 266	714074460510
SPT(16)	2216690276052532799	0 68 98 210 224 254 308 330 368 390 444 474 488 600 630 698	865875699432