Prime p₀= 2597730234516370799 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)	2597728368267514961	0 20 48 56 68 120 138 206 222 290 308 360 372 380 408 428	-1866248855838
STPT(10)	2597728754663061161	0 2 6 8 18 20 30 32 36 38	-1479853309638
SPT(16)	2597728902564712327	0 10 34 36 42 52 76 120 136 180 204 214 220 222 246 256	-1331951658472
STPT(10)	2597729428060724819	0 2 30 32 120 122 210 212 240 242	-806455645980
SPT(16)	2597729607356956879	0 108 120 132 160 162 202 214 258 270 310 312 340 352 364 472	-627159413920
SPT(16)	2597730075770488831	0 16 18 46 76 102 130 142 156 168 196 222 252 280 282 298	-158745881968
SPT(16)	2597730754251289493	0 50 56 74 110 114 144 146 168 170 200 204 240 258 264 314	519734918694
STPT(10)	2597730783817332311	0 2 36 38 78 80 120 122 156 158	549300961512
SPT(16)	2597730863652653371	0 12 48 100 118 186 208 222 286 300 322 390 408 460 496 508	629136282572
STPT(10)	2597731110453918389	0 2 18 20 30 32 42 44 60 62	875937547590
STPT(10)	2597731415869097489	0 2 42 44 60 62 78 80 120 122	1181352726690