Prime p₀= 2106769313653410797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: gemini8
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2106767878433525513	0 24 86 90 104 114 150 156 224 230 266 276 290 294 356 380	-1435219885284
SPT(16)	2106768177707088827	0 12 24 60 84 110 120 176 210 266 276 302 326 362 374 386	-1135946321970
SPT(16)	2106768604926893939	0 44 80 92 108 122 150 210 212 272 300 314 330 342 378 422	-708726516858
TPT(14)	2106769177581339959	0 2 30 32 162 164 228 230 252 254 282 284 372 374	-136072070838
SPT(16)	2106769211622808351	0 10 58 100 120 160 166 178 180 192 198 238 258 300 348 358	-102030602446
SPT(16)	2106769257345209813	0 38 54 90 96 104 108 156 248 296 300 308 314 350 366 404	-56308200984
SPT(16)	2106769724765930921	0 56 68 90 126 146 188 270 308 390 432 452 488 510 522 578	411112520124
SPT(18)	2106769843284835387	0 16 24 36 126 142 150 154 162 184 192 196 204 220 310 322 330 346	529631424590
STPT(10)	2106770097122049377	0 2 42 44 72 74 102 104 144 146	783468638580
TPT(14)	2106770144295353219	0 2 42 44 48 50 180 182 210 212 222 224 282 284	830641942422
SPT(16)	2106770390095844789	0 12 24 30 68 78 92 170 192 270 284 294 332 338 350 362	1076442433992