Prime p₀= 2597731415869097489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2597730075770488831	0 16 18 46 76 102 130 142 156 168 196 222 252 280 282 298	-1340098608658
STPT(10)	2597730234516370799	0 2 18 20 30 32 42 44 60 62	-1181352726690
SPT(16)	2597730754251289493	0 50 56 74 110 114 144 146 168 170 200 204 240 258 264 314	-661617807996
STPT(10)	2597730783817332311	0 2 36 38 78 80 120 122 156 158	-632051765178
SPT(16)	2597730863652653371	0 12 48 100 118 186 208 222 286 300 322 390 408 460 496 508	-552216444118
STPT(10)	2597731110453918389	0 2 18 20 30 32 42 44 60 62	-305415179100
SPT(16)	2597731856893346801	0 6 20 56 80 108 116 138 188 210 218 246 270 306 320 326	441024249312
SPT(16)	2597732001047476061	0 18 30 66 72 140 182 186 422 426 468 536 542 578 590 608	585178378572
SPT(16)	2597732012033393237	0 56 132 176 200 204 210 234 242 266 272 276 300 344 420 476	596164295748
STPT(10)	2597732020051898657	0 2 42 44 72 74 102 104 144 146	604182801168
STPT(10)	2597732648898357569	0 2 18 20 30 32 42 44 60 62	1233029260080