Prime p₀= 2568350942649740159 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(20)	2568349124081553487	0 34 52 90 120 136 174 180 210 220 276 286 316 322 360 376 406 444 462 496	-1818568186672
SPT(16)	2568349196198190271	0 12 18 60 88 96 102 130 138 166 172 180 208 250 256 268	-1746451549888
SPT(16)	2568349800174412687	0 30 46 72 82 90 112 160 192 240 262 270 280 306 322 352	-1142475327472
SPT(16)	2568349988972644117	0 40 52 72 120 126 142 156 190 204 220 226 274 294 306 346	-953677096042
SPT(16)	2568350274503308297	0 6 22 60 72 90 100 144 202 246 256 274 286 324 340 346	-668146431862
STPT(10)	2568350699637382997	0 2 30 32 42 44 54 56 84 86	-243012357162
SPT(16)	2568350958357468959	0 12 48 50 114 188 192 240 272 320 324 398 462 464 500 512	15707728800
STPT(10)	2568350972156317847	0 2 30 32 72 74 114 116 144 146	29506577688
SPT(16)	2568350975755409149	0 34 78 82 118 132 138 144 148 154 160 174 210 214 258 292	33105668990
SPT(16)	2568351361438303783	0 4 46 70 130 168 174 184 210 220 226 264 324 348 390 394	418788563624
SPT(16)	2568351431772123511	0 28 52 90 96 112 120 178 180 238 246 262 268 306 330 358	489122383352