Prime p₀= 2797167294522531167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2797166008240768013	0 6 50 56 168 174 176 198 266 288 290 296 408 414 458 464	-1286281763154
SPT(16)	2797166226489423037	0 12 34 60 82 90 96 120 166 190 196 204 226 252 274 286	-1068033108130
STPT(10)	2797166695909076399	0 2 18 20 30 32 42 44 60 62	-598613454768
SPT(16)	2797166877353589163	0 48 54 90 100 126 150 166 168 184 208 234 244 280 286 334	-417168942004
SPT(16)	2797166911822031509	0 4 48 70 120 138 202 250 252 300 364 382 432 454 498 502	-382700499658
SPT(16)	2797167234678817801	0 22 36 66 82 118 150 162 196 208 240 276 292 322 336 358	-59843713366
STPT(10)	2797167643198163309	0 2 42 44 90 92 138 140 180 182	348675632142
STPT(10)	2797167799931393027	0 2 60 62 72 74 84 86 144 146	505408861860
STPT(10)	2797168161695456579	0 2 30 32 60 62 90 92 120 122	867172925412
STPT(10)	2797168170968498681	0 2 6 8 48 50 90 92 96 98	876445967514
STPT(10)	2797168171001099219	0 2 78 80 120 122 162 164 240 242	876478568052