Prime p₀= 2689456769299627469 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

STPT(10)	2689456077794732369	0 2 12 14 30 32 48 50 60 62	-691504895100
STPT(12)	2689456091848384799	0 2 12 14 42 44 48 50 78 80 90 92	-677451242670
SPT(16)	2689456187444762069	0 8 14 24 38 68 78 110 132 164 174 204 218 228 234 242	-581854865400
TPT(14)	2689456192091515241	0 2 90 92 126 128 246 248 336 338 360 362 378 380	-577208112228
STPT(10)	2689456495755092207	0 2 60 62 72 74 84 86 144 146	-273544535262
SPT(16)	2689456721531665543	0 40 54 108 150 178 226 250 264 288 336 364 406 460 474 514	-47767961926
TPT(16)	2689456847810821577	0 2 12 14 30 32 54 56 192 194 222 224 240 242 282 284	78511194108
SPT(16)	2689457129957264143	0 46 54 64 78 114 144 156 178 190 220 256 270 280 288 334	360657636674
STPT(10)	2689457476488681707	0 2 30 32 42 44 54 56 84 86	707189054238
SPT(16)	2689457517538562839	0 4 40 102 154 190 222 228 424 430 462 498 550 612 648 652	748238935370
SPT(16)	2689457659710515747	0 20 50 56 72 74 120 174 182 236 282 284 300 306 336 356	890410888278