Prime p₀= 2126707115801537837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2126705574428264519	0 2 18 20 30 32 42 44 60 62	-1541373273318
STPT(10)	2126705750340570389	0 2 48 50 90 92 132 134 180 182	-1365460967448
STPT(10)	2126706049095678101	0 2 6 8 18 20 30 32 36 38	-1066705859736
SPT(16)	2126706145561803037	0 22 60 70 82 100 102 112 114 124 126 144 156 166 204 226	-970239734800
SPT(16)	2126706603806080129	0 18 78 100 114 130 148 184 198 234 252 268 282 304 364 382	-511995457708
SPT(16)	2126706981377075639	0 14 72 90 104 114 138 194 198 254 278 288 302 320 378 392	-134424462198
STPT(10)	2126707209978391067	0 2 24 26 42 44 60 62 84 86	94176853230
TPT(14)	2126707320097341689	0 2 162 164 240 242 318 320 372 374 570 572 582 584	204295803852
SPT(16)	2126707387339902517	0 12 24 64 150 166 196 232 264 300 330 346 432 472 484 496	271538364680
SPT(16)	2126707426355587267	0 30 36 70 76 124 150 154 162 166 192 240 246 280 286 316	310554049430
SPT(16)	2126707684019379751	0 30 72 112 138 156 168 208 210 250 262 280 306 346 388 418	568217841914