Prime p₀= 2834578432305612677 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: Landjunge
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2834576760800491279	0 24 70 94 102 112 130 132 172 174 192 202 210 234 280 304	-1671505121398
SPT(16)	2834577407418343583	0 6 80 98 120 146 156 188 318 350 360 386 408 426 500 506	-1024887269094
SPT(16)	2834577475165810061	0 2 18 62 90 116 140 198 470 528 552 578 606 650 666 668	-957139802616
STPT(10)	2834577483640474457	0 2 30 32 42 44 54 56 84 86	-948665138220
TPT(14)	2834578026266750609	0 2 42 44 72 74 102 104 108 110 138 140 150 152	-406038862068
STPT(10)	2834578249567114007	0 2 42 44 72 74 102 104 144 146	-182738498670
SPT(16)	2834578898830374667	0 136 180 234 264 286 292 334 522 564 570 592 622 676 720 856	466524761990
SPT(16)	2834579085717445207	0 10 30 42 52 70 102 150 172 220 252 270 280 292 312 322	653411832530
TPT(14)	2834579200326482039	0 2 60 62 138 140 210 212 228 230 252 254 300 302	768020869362
STPT(10)	2834579281305839279	0 2 42 44 60 62 78 80 120 122	849000226602
SPT(16)	2834579798081287937	0 6 36 102 104 156 176 192 224 240 260 312 314 380 410 416	1365775675260