Prime p₀= 2524615625523198341 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 64 2 70 2

TPT(14)	2524613479254077777	0 2 24 26 144 146 252 254 282 284 294 296 390 392	-2146269120564
SPT(16)	2524613976090733097	0 60 132 162 186 230 242 246 410 414 426 470 494 524 596 656	-1649432465244
TPT(14)	2524614512612681339	0 2 30 32 48 50 168 170 180 182 198 200 222 224	-1112910517002
STPT(10)	2524614779813355881	0 2 36 38 78 80 120 122 156 158	-845709842460
SPT(16)	2524615199923063957	0 6 30 34 42 54 64 76 120 132 142 154 162 166 190 196	-425600134384
STPT(10)	2524615436389639919	0 2 18 20 30 32 42 44 60 62	-189133558422
SPT(16)	2524615815979730269	0 12 40 60 70 114 118 142 240 264 268 312 322 342 370 382	190456531928
SPT(16)	2524615829884646021	0 2 30 32 62 102 116 132 140 156 170 210 240 242 270 272	204361447680
SPT(16)	2524615973301590579	0 54 74 140 152 180 290 318 344 372 482 510 522 588 608 662	347778392238
STPT(10)	2524616698238081771	0 2 36 38 78 80 120 122 156 158	1072714883430
SPT(16)	2524616869196532731	0 18 38 60 98 102 108 110 150 152 158 162 200 222 242 260	1243673334390