Prime p₀= 2316496652156471969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

TPT(14)	2316495824636053547	0 2 60 62 90 92 222 224 282 284 300 302 312 314	-827520418422
SPT(16)	2316495914028162899	0 32 42 50 74 92 120 152 162 194 222 240 264 272 282 314	-738128309070
SPT(16)	2316496151926129181	0 66 72 126 150 162 182 218 240 276 296 308 332 386 392 458	-500230342788
TPT(14)	2316496160929276871	0 2 108 110 150 152 186 188 210 212 306 308 336 338	-491227195098
SPT(16)	2316496525814782231	0 42 60 126 142 162 180 196 216 232 250 270 286 352 370 412	-126341689738
SPT(16)	2316496647861451243	0 6 88 100 156 160 196 216 238 258 294 298 354 366 448 454	-4295020726
SPT(18)	2316496989697804217	0 2 44 54 72 162 182 264 282 314 332 414 434 524 542 552 594 596	337541332248
TPT(14)	2316497239669903097	0 2 42 44 84 86 90 92 162 164 174 176 264 266	587513431128
SPT(16)	2316497674510551023	0 6 38 84 134 174 216 224 240 248 290 330 380 426 458 464	1022354079054
STPT(10)	2316497951109687767	0 2 42 44 102 104 162 164 204 206	1298953215798
SPT(16)	2316497979912710299	0 28 94 102 118 138 142 144 208 210 214 234 250 258 324 352	1327756238330