Prime p₀= 2350075198458170999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2350072781027049497	0 24 104 132 144 200 206 210 356 360 366 422 434 462 542 566	-2417431121502
STPT(10)	2350073211375620849	0 2 18 20 30 32 42 44 60 62	-1987082550150
SPT(16)	2350073941840299847	0 6 22 76 82 90 124 142 144 162 196 204 210 264 280 286	-1256617871152
SPT(16)	2350074508884712921	0 10 12 16 28 36 112 166 192 246 322 330 342 346 348 358	-689573458078
SPT(16)	2350074853696286599	0 10 28 54 60 78 84 94 114 124 130 148 154 180 198 208	-344761884400
SPT(16)	2350075197495315403	0 16 24 100 114 126 136 148 156 168 178 190 204 280 288 304	-962855596
SPT(16)	2350075202577815107	0 16 30 36 94 96 136 142 174 180 220 222 280 286 300 316	4119644108
SPT(16)	2350075331063661589	0 42 84 108 168 198 208 232 240 264 274 304 364 388 430 472	132605490590
TPT(14)	2350075483647310751	0 2 36 38 90 92 126 128 138 140 168 170 180 182	285189139752
SPT(16)	2350076668657521751	0 12 28 30 36 58 100 106 132 138 180 202 208 210 226 238	1470199350752
SPT(16)	2350076674712319523	0 6 10 60 76 178 210 220 246 256 288 390 406 456 460 466	1476254148524