Prime p₀= 2959709456469900707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2959706874448003807	0 52 84 96 112 130 136 150 166 180 186 204 220 232 264 316	-2582021896900
SPT(16)	2959706883910670801	0 12 36 48 56 62 92 96 182 186 216 222 230 242 266 278	-2572559229906
SPT(16)	2959707229117329359	0 14 30 44 50 84 132 152 240 260 308 342 348 362 378 392	-2227352571348
STPT(10)	2959708432687156037	0 2 30 32 42 44 54 56 84 86	-1023782744670
TPT(14)	2959708591088730989	0 2 30 32 60 62 132 134 138 140 222 224 300 302	-865381169718
SPT(16)	2959709137733035007	0 42 50 66 80 102 104 116 210 222 224 246 260 276 284 326	-318736865700
SPT(16)	2959709485871197993	0 24 58 90 126 148 156 258 346 448 456 478 514 546 580 604	29401297286
TPT(14)	2959710715210229081	0 2 6 8 48 50 168 170 318 320 426 428 468 470	1258740328374
SPT(16)	2959711286894541217	0 30 42 132 150 154 166 220 306 360 372 376 394 484 496 526	1830424640510
TPT(14)	2959711815659876411	0 2 30 32 66 68 78 80 156 158 168 170 210 212	2359189975704
SPT(16)	2959712967553570477	0 12 34 82 100 142 184 210 214 240 282 324 342 390 412 424	3511083669770