Prime p₀= 927670609332733727 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)	927670215133244897	0 2 30 32 72 74 114 116 144 146	-394199488830
STPT(10)	927670271186250959	0 2 12 14 90 92 168 170 180 182	-338146482768
SPT(16)	927670399753807607	0 6 14 50 60 72 74 80 126 132 134 146 156 192 200 206	-209578926120
STPT(10)	927670554456220217	0 2 24 26 42 44 60 62 84 86	-54876513510
STPT(10)	927670594602930851	0 2 30 32 78 80 126 128 156 158	-14729802876
STPT(10)	927670595895355307	0 2 30 32 72 74 114 116 144 146	-13437378420
SPT(16)	927670673790821033	0 38 68 84 110 140 146 150 254 258 264 294 320 336 366 404	64458087306
STPT(10)	927670705271269637	0 2 30 32 42 44 54 56 84 86	95938535910
SPT(16)	927670751089061773	0 10 36 66 70 94 124 138 166 180 210 234 238 268 294 304	141756328046
SPT(16)	927670789939630663	0 40 66 78 108 124 138 148 156 166 180 196 226 238 264 304	180606896936
TPT(14)	927671023027937267	0 2 30 32 60 62 72 74 120 122 132 134 204 206	413695203540