Prime p₀= 2127874824769607567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Odd-Rod
db: batch=80, k=10, 2 88 2 40 2

SPT(16)	2127873264464366119	0 24 30 60 114 120 138 142 150 154 172 178 232 262 268 292	-1560305241448
SPT(16)	2127873355198183459	0 42 88 130 142 198 228 240 250 262 292 348 360 402 448 490	-1469571424108
SPT(16)	2127873780758503489	0 34 40 78 90 112 150 154 228 232 270 292 304 342 348 382	-1044011104078
SPT(16)	2127874009013798051	0 140 156 186 200 240 270 278 300 308 338 378 392 422 438 578	-815755809516
SPT(16)	2127874439317230431	0 2 36 42 60 86 92 98 120 126 132 158 176 182 216 218	-385452377136
TPT(14)	2127874559765485889	0 2 198 200 252 254 288 290 360 362 372 374 402 404	-265004121678
STPT(10)	2127875048971153787	0 2 30 32 42 44 54 56 84 86	224201546220
SPT(16)	2127875078580599597	0 6 20 36 60 90 120 132 170 182 212 242 266 282 296 302	253810992030
SPT(16)	2127875122572799777	0 4 30 60 64 100 126 132 214 220 246 282 286 316 342 346	297803192210
SPT(16)	2127875154975548081	0 26 42 102 122 162 182 206 306 330 350 390 410 470 486 512	330205940514
STPT(10)	2127876125121983441	0 2 6 8 18 20 30 32 36 38	1300352375874