Prime p₀= 2625381154213475657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Asgard2022
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2625379682820706039	0 12 70 72 118 132 142 174 238 270 280 294 340 342 400 412	-1471392769618
STPT(10)	2625380014517280197	0 2 60 62 72 74 84 86 144 146	-1139696195460
STPT(10)	2625380033088926549	0 2 42 44 60 62 78 80 120 122	-1121124549108
STPT(10)	2625380104215508691	0 2 6 8 18 20 30 32 36 38	-1049997966966
SPT(16)	2625380682772335967	0 30 64 70 72 94 100 154 162 216 222 244 246 252 286 316	-471441139690
SPT(16)	2625381094236336587	0 12 50 56 110 180 186 270 302 386 392 462 516 522 560 572	-59977139070
STPT(10)	2625381236279527049	0 2 18 20 60 62 102 104 120 122	82066051392
STPT(10)	2625381985012753721	0 2 30 32 198 200 366 368 396 398	830799278064
TPT(14)	2625382086087100979	0 2 78 80 132 134 168 170 198 200 300 302 372 374	931873625322
SPT(16)	2625382707165509201	0 30 78 92 152 162 198 228 260 290 326 336 396 410 458 488	1552952033544
STPT(10)	2625382794082760651	0 2 36 38 78 80 120 122 156 158	1639869284994