Prime p₀= 2309947605465275117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2309945658901441679	0 2 18 20 30 32 42 44 60 62	-1946563833438
SPT(16)	2309945680265444479	0 4 48 52 112 114 130 172 240 282 298 300 360 364 408 412	-1925199830638
TPT(14)	2309946153207107801	0 2 36 38 78 80 138 140 156 158 180 182 198 200	-1452258167316
SPT(16)	2309946968684098259	0 42 60 74 84 90 92 110 132 150 152 158 168 182 200 242	-636781176858
SPT(16)	2309947254816692171	0 18 36 48 50 62 116 140 168 192 246 258 260 272 290 308	-350648582946
SPT(16)	2309947259909982131	0 18 32 36 38 176 180 182 246 248 252 390 392 396 410 428	-345555292986
STPT(10)	2309947851927213527	0 2 30 32 42 44 54 56 84 86	246461938410
TPT(14)	2309947884449066861	0 2 18 20 30 32 228 230 306 308 360 362 366 368	278983791744
SPT(16)	2309947972756956901	0 6 42 52 90 106 120 162 166 208 222 238 276 286 322 328	367291681784
STPT(10)	2309948620201522997	0 2 54 56 72 74 90 92 144 146	1014736247880
STPT(10)	2309948875602676277	0 2 12 14 72 74 132 134 144 146	1270137401160