Prime p₀= 2159257323028323767 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: rlacr
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2159255555670240329	0 2 12 14 42 44 78 80 210 212 282 284 360 362	-1767358083438
STPT(10)	2159255672487165191	0 2 36 38 78 80 120 122 156 158	-1650541158576
SPT(16)	2159256272484048317	0 2 6 20 32 60 66 104 192 230 236 264 276 290 294 296	-1050544275450
STPT(10)	2159256575540289497	0 2 24 26 42 44 60 62 84 86	-747488034270
SPT(16)	2159256682999539029	0 44 54 60 90 174 210 242 252 284 320 404 434 440 450 494	-640028784738
SPT(16)	2159257138680716023	0 10 70 76 78 136 154 178 186 210 228 286 288 294 354 364	-184347607744
SPT(16)	2159257457173333787	0 12 14 36 62 86 92 116 240 264 270 294 320 342 344 356	134145010020
SPT(16)	2159257974610482623	0 14 26 44 96 104 146 194 210 258 300 308 360 378 390 404	651582158856
SPT(18)	2159258036488834657	0 22 36 60 96 172 186 190 210 292 312 316 330 406 442 466 480 502	713460510890
SPT(16)	2159258453783909629	0 30 34 40 48 64 88 130 198 240 264 280 288 294 298 328	1130755585862
SPT(16)	2159258518159591973	0 26 54 80 98 104 116 134 150 168 180 186 204 230 258 284	1195131268206