Prime p₀= 2370729564338040209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 130 2 16 2 16 2 130 2 (?)
a_n: 0 2 132 134 150 152 168 170 300 302
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: 302
Found by: MarkRBright
db: batch=81, k=10, 2 130 2 16 2

SPT(16)	2370728408590080439	0 18 24 70 102 168 172 208 234 270 274 340 372 418 424 442	-1155747959770
SPT(16)	2370728469874058947	0 6 24 66 70 76 94 184 246 336 354 360 364 406 424 430	-1094463981262
SPT(16)	2370728690816625143	0 114 134 174 186 188 198 218 336 356 366 368 380 420 440 554	-873521415066
SPT(16)	2370728739388219387	0 24 30 34 42 52 72 114 130 172 192 202 210 214 220 244	-824949820822
TPT(14)	2370728912162264669	0 2 12 14 30 32 72 74 108 110 120 122 138 140	-652175775540
SPT(16)	2370729426235573373	0 24 126 138 158 176 180 276 278 374 378 396 416 428 530 554	-138102466836
SPT(16)	2370730293237611311	0 58 70 96 118 132 156 196 222 262 286 300 322 348 360 418	728899571102
SPT(16)	2370730394749141207	0 52 84 90 102 136 142 216 220 294 300 334 346 352 384 436	830411100998
SPT(16)	2370730411545644293	0 4 34 48 90 96 126 148 186 208 238 244 286 300 330 334	847207604084
SPT(16)	2370730443455184451	0 12 16 18 36 82 198 202 336 340 456 502 520 522 526 538	879117144242
SPT(16)	2370730660149216529	0 42 58 160 180 192 204 208 234 238 250 262 282 384 400 442	1095811176320