Prime p₀= 2668580550254677127 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2668579769774764187	0 2 24 30 42 72 96 116 150 170 194 224 236 242 264 266	-780479912940
STPT(10)	2668579871844161789	0 2 48 50 90 92 132 134 180 182	-678410515338
STPT(10)	2668580052795638711	0 2 36 38 78 80 120 122 156 158	-497459038416
SPT(16)	2668580102830904161	0 6 22 40 78 138 160 172 246 258 280 340 378 396 412 418	-447423772966
SPT(16)	2668580226364446517	0 22 34 40 60 82 132 142 144 154 204 226 246 252 264 286	-323890230610
SPT(16)	2668580303379734903	0 18 48 74 78 96 108 120 164 176 188 206 210 236 266 284	-246874942224
SPT(16)	2668580785054964783	0 26 48 50 54 90 138 150 164 176 224 260 264 266 288 314	234800287656
STPT(10)	2668581547001546711	0 2 66 68 108 110 150 152 216 218	996746869584
STPT(10)	2668581633665277287	0 2 42 44 72 74 102 104 144 146	1083410600160
STPT(10)	2668581693146591771	0 2 6 8 48 50 90 92 96 98	1142891914644
SPT(16)	2668582394024873257	0 100 114 150 154 156 162 180 196 214 220 222 226 262 276 376	1843770196130