Prime p₀= 1297176540093023267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1297174904995395331	0 78 118 142 148 156 202 226 252 276 322 330 336 360 400 478	-1635097627936
TPT(14)	1297174940194501997	0 2 54 56 114 116 144 146 234 236 252 254 312 314	-1599898521270
STPT(10)	1297175354986612859	0 2 18 20 30 32 42 44 60 62	-1185106410408
SPT(16)	1297175362574433211	0 22 48 156 168 226 240 270 298 328 342 400 412 520 546 568	-1177518590056
SPT(16)	1297175787934787473	0 10 30 48 58 70 100 118 168 186 216 228 238 256 276 286	-752158235794
STPT(12)	1297176094647983369	0 2 30 32 72 74 78 80 120 122 150 152	-445445039898
SPT(16)	1297176668467520041	0 12 42 90 112 172 192 208 222 238 258 318 340 388 418 430	128374496774
SPT(16)	1297176913333594277	0 12 50 56 90 92 116 132 230 246 270 272 306 312 350 362	373240571010
STPT(10)	1297178159342504009	0 2 18 20 30 32 42 44 60 62	1619249480742
TPT(14)	1297178381086252961	0 2 60 62 126 128 156 158 228 230 246 248 288 290	1840993229694
SPT(16)	1297178569906064117	0 12 26 30 104 132 164 192 254 282 314 342 416 420 434 446	2029813040850