Prime p₀= 2309105031276878771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: WTBroughton
db: batch=81, k=10, 2 64 2 70 2

STPT(10)	2309103700293494771	0 2 6 8 18 20 30 32 36 38	-1330983384000
SPT(16)	2309103711610530677	0 24 56 140 212 254 260 264 332 336 342 384 456 540 572 596	-1319666348094
SPT(16)	2309104175799896537	0 54 62 80 122 150 182 210 254 282 314 342 384 402 410 464	-855476982234
SPT(16)	2309104650910783997	0 32 50 60 62 104 140 152 174 186 222 264 266 276 294 326	-380366094774
STPT(10)	2309104701636862247	0 2 30 32 42 44 54 56 84 86	-329640016524
SPT(16)	2309104818667182509	0 2 8 30 32 54 84 98 114 128 158 180 182 204 210 212	-212609696262
STPT(10)	2309105043440294921	0 2 6 8 48 50 90 92 96 98	12163416150
STPT(10)	2309105166215141051	0 2 6 8 18 20 30 32 36 38	134938262280
TPT(14)	2309105207040403571	0 2 18 20 90 92 216 218 258 260 330 332 450 452	175763524800
SPT(16)	2309105486824411579	0 10 54 72 90 150 160 192 250 282 292 352 370 388 432 442	455547532808
STPT(10)	2309106006541030259	0 2 12 14 90 92 168 170 180 182	975264151488