Prime p₀= 960978774620114597 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	960977086988815319	0 8 20 42 68 98 120 194 198 272 294 324 350 372 384 392	-1687631299278
SPT(16)	960977569300567277	0 20 60 72 86 104 110 132 194 216 222 240 254 266 306 326	-1205319547320
STPT(10)	960977751979936721	0 2 30 32 60 62 90 92 120 122	-1022640177876
STPT(10)	960977771185106429	0 2 18 20 30 32 42 44 60 62	-1003435008168
TPT(14)	960978028249857659	0 2 18 20 72 74 192 194 270 272 378 380 402 404	-746370256938
SPT(16)	960978714213553639	0 24 84 118 142 160 172 178 234 240 252 270 294 328 388 412	-60406560958
STPT(10)	960978779561860271	0 2 36 38 78 80 120 122 156 158	4941745674
STPT(12)	960978802699289189	0 2 30 32 60 62 72 74 102 104 132 134	28079174592
TPT(14)	960979141148620379	0 2 30 32 60 62 240 242 258 260 300 302 372 374	366528505782
STPT(10)	960979266721229849	0 2 30 32 60 62 90 92 120 122	492101115252
STPT(10)	960979351770540197	0 2 30 32 42 44 54 56 84 86	577150425600