Prime p₀= 1292176679487687197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1292176216534813703	0 8 14 44 56 120 140 170 294 324 344 408 420 450 456 464	-462952873494
SPT(16)	1292176318035967523	0 78 80 104 158 174 234 258 260 284 344 360 414 438 440 518	-361451719674
SPT(16)	1292176336619356709	0 24 48 54 80 98 104 114 188 198 204 222 248 254 278 302	-342868330488
SPT(16)	1292176524764720437	0 12 42 72 76 112 126 150 166 190 204 240 244 274 304 316	-154722966760
SPT(16)	1292176625996877931	0 18 46 60 90 100 118 156 160 198 216 226 256 270 298 316	-53490809266
STPT(10)	1292176631474748989	0 2 12 14 30 32 48 50 60 62	-48012938208
STPT(10)	1292176747886117879	0 2 30 32 60 62 90 92 120 122	68398430682
TPT(14)	1292176753319993699	0 2 90 92 198 200 222 224 228 230 270 272 378 380	73832306502
STPT(10)	1292176901997022817	0 2 12 14 42 44 72 74 84 86	222509335620
STPT(10)	1292176916836176377	0 2 30 32 42 44 54 56 84 86	237348489180
SPT(16)	1292177488932699157	0 12 52 54 64 112 120 192 232 304 312 360 370 372 412 424	809445011960