Prime p₀= 2507722941627689759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2507720782625042443	0 16 34 46 60 96 114 154 186 226 244 280 294 306 324 340	-2159002647316
TPT(14)	2507720832374813777	0 2 12 14 72 74 120 122 192 194 234 236 282 284	-2109252875982
STPT(10)	2507720871540800087	0 2 12 14 72 74 132 134 144 146	-2070086889672
SPT(16)	2507721653704965739	0 12 18 28 52 60 82 108 172 198 220 228 252 262 268 280	-1287922724020
STPT(10)	2507721698004644489	0 2 18 20 30 32 42 44 60 62	-1243623045270
SPT(16)	2507722933661352461	0 8 20 38 42 66 68 90 278 300 302 326 330 348 360 368	-7966337298
STPT(10)	2507723426263414769	0 2 12 14 90 92 168 170 180 182	484635725010
STPT(10)	2507723442711681287	0 2 30 32 60 62 90 92 120 122	501083991528
SPT(16)	2507723450248966109	0 2 68 102 144 174 194 200 222 228 248 278 320 354 420 422	508621276350
SPT(16)	2507723721482325847	0 22 34 36 42 90 102 114 172 184 196 244 250 252 264 286	779854636088
SPT(16)	2507724242815181021	0 2 32 108 132 240 266 300 308 342 368 476 500 576 606 608	1301187491262