Prime p₀= 2512706668073447141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2512703708677484723	0 18 44 108 134 144 146 168 206 228 230 240 266 330 356 374	-2959395962418
SPT(16)	2512703716451051653	0 10 24 28 36 48 66 96 118 148 166 178 186 190 204 214	-2951622395488
STPT(10)	2512704688631905121	0 2 6 8 48 50 90 92 96 98	-1979441542020
STPT(10)	2512704939249755219	0 2 12 14 30 32 48 50 60 62	-1728823691922
SPT(16)	2512705152343324837	0 12 54 64 94 96 126 142 204 220 250 252 282 292 334 346	-1515730122304
STPT(10)	2512705693947676691	0 2 36 38 78 80 120 122 156 158	-974125770450
SPT(16)	2512707121444702621	0 18 60 70 102 132 160 162 178 180 208 238 270 280 322 340	453371255480
SPT(16)	2512707375955779221	0 6 18 30 50 72 98 146 282 330 356 378 398 410 422 428	707882332080
STPT(10)	2512707631198507619	0 2 30 32 60 62 90 92 120 122	963125060478
SPT(16)	2512708236191895779	0 14 30 32 90 108 182 224 318 360 434 452 510 512 528 542	1568118448638
SPT(18)	2512708501153998643	0 4 108 118 144 156 168 178 196 198 216 226 238 250 276 286 390 394	1833080551502