Prime p₀= 2767394967049793849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2767394228277438061	0 40 58 112 136 142 150 196 222 268 276 282 306 360 378 418	-738772355788
SPT(16)	2767394382856838089	0 10 18 24 28 54 60 90 172 202 208 234 238 244 252 262	-584192955760
STPT(10)	2767394505490904171	0 2 36 38 78 80 120 122 156 158	-461558889678
STPT(10)	2767394718350705039	0 2 18 20 60 62 102 104 120 122	-248699088810
TPT(14)	2767394757681608627	0 2 72 74 144 146 150 152 210 212 240 242 264 266	-209368185222
STPT(10)	2767394913186643931	0 2 36 38 78 80 120 122 156 158	-53863149918
STPT(10)	2767395077012661881	0 2 36 38 78 80 120 122 156 158	109962868032
STPT(10)	2767395237328442267	0 2 30 32 42 44 54 56 84 86	270278648418
STPT(12)	2767395497483122769	0 2 18 20 42 44 48 50 72 74 90 92	530433328920
SPT(16)	2767395599475812131	0 30 36 46 58 142 190 210 268 288 336 420 432 442 448 478	632426018282
TPT(14)	2767396480226855291	0 2 36 38 90 92 180 182 300 302 306 308 336 338	1513177061442