Prime p₀= 2999315680719137831 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: Orange Kid
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2999314393613556839	0 2 42 44 60 62 78 80 120 122	-1287105580992
STPT(10)	2999314616741429771	0 2 36 38 78 80 120 122 156 158	-1063977708060
SPT(16)	2999314853060805941	0 8 12 18 32 90 120 138 182 200 230 288 302 308 312 320	-827658331890
SPT(16)	2999314898347317701	0 8 50 62 90 132 162 170 228 236 266 308 336 348 390 398	-782371820130
STPT(10)	2999315241670166051	0 2 6 8 48 50 90 92 96 98	-439048971780
SPT(16)	2999315406140877569	0 12 14 18 110 152 158 168 254 264 270 312 404 408 410 422	-274578260262
STPT(10)	2999315739306000767	0 2 42 44 102 104 162 164 204 206	58586862936
TPT(14)	2999315752837399349	0 2 48 50 72 74 210 212 252 254 312 314 492 494	72118261518
SPT(16)	2999315795640681059	0 20 32 90 180 242 300 312 338 350 408 470 560 618 630 650	114921543228
SPT(16)	2999316228549646739	0 44 60 62 84 174 180 198 224 242 248 338 360 362 378 422	547830508908
SPT(16)	2999316413807242649	0 2 38 60 72 74 84 150 212 278 288 290 302 324 360 362	733088104818