Prime p₀= 927671603617838267 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	927670705271269637	0 2 30 32 42 44 54 56 84 86	-898346568630
SPT(16)	927670751089061773	0 10 36 66 70 94 124 138 166 180 210 234 238 268 294 304	-852528776494
SPT(16)	927670789939630663	0 40 66 78 108 124 138 148 156 166 180 196 226 238 264 304	-813678207604
TPT(14)	927671023027937267	0 2 30 32 60 62 72 74 120 122 132 134 204 206	-580589901000
STPT(10)	927671351365193129	0 2 30 32 60 62 90 92 120 122	-252252645138
STPT(10)	927671497359305507	0 2 54 56 72 74 90 92 144 146	-106258532760
SPT(16)	927671633758229069	0 2 20 24 48 62 132 138 224 230 300 314 338 342 360 362	30140390802
SPT(16)	927672250887076517	0 32 54 56 114 144 182 216 350 384 422 452 510 512 534 566	647269238250
SPT(16)	927672577178873203	0 6 16 28 40 58 84 88 126 130 156 174 186 198 208 214	973561034936
STPT(10)	927672930423806267	0 2 30 32 42 44 54 56 84 86	1326805968000
STPT(10)	927673232636220071	0 2 78 80 138 140 198 200 276 278	1629018381804