Prime p₀= 2597730783817332311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2597728902564712327	0 10 34 36 42 52 76 120 136 180 204 214 220 222 246 256	-1881252619984
STPT(10)	2597729428060724819	0 2 30 32 120 122 210 212 240 242	-1355756607492
SPT(16)	2597729607356956879	0 108 120 132 160 162 202 214 258 270 310 312 340 352 364 472	-1176460375432
SPT(16)	2597730075770488831	0 16 18 46 76 102 130 142 156 168 196 222 252 280 282 298	-708046843480
STPT(10)	2597730234516370799	0 2 18 20 30 32 42 44 60 62	-549300961512
SPT(16)	2597730754251289493	0 50 56 74 110 114 144 146 168 170 200 204 240 258 264 314	-29566042818
SPT(16)	2597730863652653371	0 12 48 100 118 186 208 222 286 300 322 390 408 460 496 508	79835321060
STPT(10)	2597731110453918389	0 2 18 20 30 32 42 44 60 62	326636586078
STPT(10)	2597731415869097489	0 2 42 44 60 62 78 80 120 122	632051765178
SPT(16)	2597731856893346801	0 6 20 56 80 108 116 138 188 210 218 246 270 306 320 326	1073076014490
SPT(16)	2597732001047476061	0 18 30 66 72 140 182 186 422 426 468 536 542 578 590 608	1217230143750