Prime p₀= 2134659698575824317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Landjunge
db: batch=80, k=10, 2 28 2 70 2

SPT(16)	2134657856969129341	0 12 90 132 136 142 166 180 262 276 300 306 310 352 430 442	-1841606694976
STPT(10)	2134658162922443687	0 2 60 62 72 74 84 86 144 146	-1535653380630
SPT(16)	2134658627839530719	0 2 12 42 50 84 134 180 194 240 290 324 332 362 372 374	-1070736293598
SPT(16)	2134658703246856207	0 4 10 16 36 70 106 114 142 150 186 220 240 246 252 256	-995328968110
SPT(16)	2134659512976175499	0 18 138 158 164 230 248 270 272 294 312 378 384 404 524 542	-185599648818
STPT(10)	2134659531592018601	0 2 30 32 78 80 126 128 156 158	-166983805716
SPT(16)	2134659812668368919	0 40 52 70 82 154 208 222 280 294 348 420 432 450 462 502	114092544602
SPT(16)	2134660026962966351	0 2 56 116 158 162 170 182 186 198 206 210 252 312 366 368	328387142034
TPT(14)	2134660935519102929	0 2 30 32 78 80 120 122 168 170 180 182 198 200	1236943278612
SPT(16)	2134661532215825033	0 36 98 134 168 176 236 246 368 378 438 446 480 516 578 614	1833640000716
SPT(16)	2134662050492888003	0 50 126 128 138 150 194 204 350 360 404 416 426 428 504 554	2351917063686