Prime p₀= 2568720091687443311 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)	2568717507078821233	0 88 100 136 150 154 156 174 280 298 300 304 318 354 366 454	-2584608622078
STPT(10)	2568717761413453589	0 2 18 20 30 32 42 44 60 62	-2330273989722
STPT(10)	2568717866589782387	0 2 30 32 42 44 54 56 84 86	-2225097660924
SPT(16)	2568718437388472797	0 24 42 52 64 114 120 150 154 184 190 240 252 262 280 304	-1654298970514
SPT(16)	2568719171060277967	0 6 54 64 70 132 156 190 216 250 274 336 342 352 400 406	-920627165344
TPT(14)	2568719320412816099	0 2 12 14 42 44 72 74 90 92 102 104 168 170	-771274627212
SPT(16)	2568720184559824579	0 48 78 102 198 250 280 282 298 300 330 382 478 502 532 580	92872381268
SPT(16)	2568720368339634757	0 22 36 40 72 156 190 232 240 282 316 400 432 436 450 472	276652191446
SPT(16)	2568720503497001747	0 26 60 90 126 180 222 230 342 350 392 446 482 512 546 572	411809558436
SPT(16)	2568720652279634003	0 6 26 56 84 90 116 144 170 198 224 230 258 288 308 314	560592190692
SPT(16)	2568720800011466447	0 12 32 86 96 116 146 152 174 180 210 230 240 294 314 326	708324023136