Prime p₀= 2301692004627143267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: FritzB
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2301690486843352901	0 2 6 8 18 20 30 32 36 38	-1517783790366
STPT(10)	2301690751731814841	0 2 156 158 168 170 180 182 336 338	-1252895328426
SPT(16)	2301691346822559707	0 32 44 54 92 114 140 144 152 156 182 204 242 252 264 296	-657804583560
SPT(16)	2301691535610274499	0 30 32 38 54 90 194 200 222 228 332 368 384 390 392 422	-469016868768
SPT(16)	2301691557827651963	0 18 36 50 140 158 168 206 240 278 288 306 396 410 428 446	-446799491304
SPT(16)	2301692000568845579	0 24 38 92 140 144 162 182 210 230 248 252 300 354 368 392	-4058297688
STPT(12)	2301692198162575679	0 2 30 32 42 44 180 182 192 194 222 224	193535432412
STPT(10)	2301692295372217217	0 2 30 32 42 44 54 56 84 86	290745073950
STPT(10)	2301692346927391277	0 2 30 32 72 74 114 116 144 146	342300248010
STPT(10)	2301692684477020589	0 2 18 20 30 32 42 44 60 62	679849877322
SPT(16)	2301692688146706403	0 48 76 90 120 126 138 156 160 178 190 196 226 240 268 316	683519563136