Prime p₀= 2512816287523653479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2512815563155279841	0 2 26 30 56 120 156 216 266 326 362 426 452 456 480 482	-724368373638
TPT(14)	2512815589365277379	0 2 30 32 78 80 138 140 210 212 372 374 492 494	-698158376100
SPT(13)	2512815666538337309	0 18 42 102 120 132 210 288 300 318 378 402 420	-620985316170
STPT(10)	2512815776759329367	0 2 30 32 42 44 54 56 84 86	-510764324112
SPT(16)	2512815798743377399	0 10 48 130 132 154 174 198 214 238 258 280 282 364 402 412	-488780276080
STPT(10)	2512815987810244679	0 2 12 14 90 92 168 170 180 182	-299713408800
SPT(16)	2512816910415807029	0 48 62 80 108 150 158 198 242 282 290 332 360 378 392 440	622892153550
SPT(16)	2512817359807724989	0 18 34 48 54 88 118 120 172 174 204 238 244 258 274 292	1072284071510
STPT(10)	2512817537101151207	0 2 42 44 72 74 102 104 144 146	1249577497728
STPT(10)	2512817723050773119	0 2 42 44 60 62 78 80 120 122	1435527119640
SPT(16)	2512817897704034069	0 2 24 32 48 90 114 132 140 158 182 224 240 248 270 272	1610180380590