Prime p₀= 2134585489129091039 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=80, k=10, 2 16 2 10 2

SPT(16)	2134584551209542997	0 66 70 76 112 120 180 192 220 232 292 300 336 342 346 412	-937919548042
STPT(12)	2134584833505978101	0 2 78 80 96 98 120 122 138 140 216 218	-655623112938
SPT(16)	2134585007240131169	0 8 92 110 192 248 260 278 372 390 402 458 540 558 642 650	-481888959870
TPT(18)	2134585093016957069	0 2 30 32 192 194 222 224 318 320 492 494 528 530 630 632 648 650	-396112133970
SPT(16)	2134585100115577121	0 36 56 90 102 108 110 176 192 258 260 266 278 312 332 368	-389013513918
SPT(16)	2134585484843605121	0 20 30 48 66 80 158 168 170 180 258 272 290 308 318 338	-4285485918
SPT(16)	2134585880330174267	0 12 50 104 146 150 182 192 194 204 236 240 282 336 374 386	391201083228
SPT(16)	2134585888595727431	0 2 8 20 36 56 98 132 176 210 252 272 288 300 306 308	399466636392
SPT(16)	2134586072929427197	0 12 16 54 106 112 120 124 222 226 234 240 292 330 334 346	583800336158
STPT(10)	2134586074894613927	0 2 30 32 72 74 114 116 144 146	585765522888
STPT(12)	2134586213047307099	0 2 12 14 42 44 78 80 108 110 120 122	723918216060