Prime p₀= 2531174071711500461 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: samuraiii
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2531172252726528731	0 36 60 68 78 126 158 162 206 210 242 290 300 308 332 368	-1818984971730
STPT(10)	2531172440932159691	0 2 6 8 18 20 30 32 36 38	-1630779340770
STPT(10)	2531172971870487557	0 2 30 32 42 44 54 56 84 86	-1099841012904
STPT(10)	2531173099806593129	0 2 18 20 30 32 42 44 60 62	-971904907332
SPT(16)	2531173625846231719	0 112 124 160 174 220 222 238 264 280 282 328 342 378 390 502	-445865268742
TPT(14)	2531173817068384259	0 2 30 32 120 122 168 170 198 200 252 254 312 314	-254643116202
SPT(16)	2531174212430112619	0 28 42 54 60 82 94 100 252 258 270 292 298 310 324 352	140718612158
SPT(16)	2531174358986102261	0 42 50 80 90 108 138 152 216 230 260 278 288 318 326 368	287274601800
SPT(16)	2531174395594600097	0 2 62 66 72 90 156 174 182 200 266 284 290 294 354 356	323883099636
SPT(16)	2531174574069351169	0 70 82 88 130 168 190 192 310 312 334 372 414 420 432 502	502357850708
STPT(10)	2531174619902806487	0 2 30 32 42 44 54 56 84 86	548191306026