Prime p₀= 2506475577236622359 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: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2506474435254178139	0 2 90 92 102 104 132 134 282 284 438 440 540 542	-1141982444220
SPT(16)	2506474700529884207	0 6 14 56 60 62 114 126 200 212 264 266 270 312 320 326	-876706738152
SPT(16)	2506474740428286841	0 6 12 52 108 118 126 132 286 292 300 310 366 406 412 418	-836808335518
SPT(16)	2506474766189135011	0 6 18 78 106 166 168 186 190 208 210 270 298 358 370 376	-811047487348
SPT(16)	2506475188632263389	0 10 52 60 102 132 184 192 220 228 280 310 352 360 402 412	-388604358970
SPT(16)	2506475251715886589	0 24 34 78 90 118 120 138 160 178 180 208 220 264 274 298	-325520735770
SPT(16)	2506475583579745793	0 26 30 74 138 140 186 200 204 218 264 266 330 374 378 404	6343123434
TPT(14)	2506475679313648571	0 2 6 8 48 50 138 140 168 170 198 200 216 218	102077026212
SPT(16)	2506475875303418839	0 18 130 142 150 168 172 198 274 300 304 322 330 342 454 472	298066796480
STPT(10)	2506476370171562807	0 2 42 44 72 74 102 104 144 146	792934940448
STPT(10)	2506476737986689449	0 2 42 44 60 62 78 80 120 122	1160750067090