Prime p₀= 1245297563656927367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 40 2

TPT(14)	1245295765878021629	0 2 72 74 102 104 168 170 228 230 270 272 300 302	-1797778905738
SPT(16)	1245296336225220043	0 10 64 78 84 108 136 144 160 168 196 220 226 240 294 304	-1227431707324
TPT(14)	1245296387657008031	0 2 48 50 78 80 120 122 288 290 426 428 468 470	-1175999919336
SPT(16)	1245296711839954621	0 52 60 78 100 106 172 210 298 336 402 408 430 448 456 508	-851816972746
SPT(16)	1245296913463298711	0 12 30 42 72 108 140 152 156 168 200 236 266 278 296 308	-650193628656
SPT(16)	1245297228577554223	0 30 78 88 96 120 144 166 168 190 214 238 246 256 304 334	-335079373144
SPT(16)	1245297709018894649	0 2 30 72 74 132 138 200 252 314 320 378 380 422 450 452	145361967282
STPT(10)	1245298231254549839	0 2 12 14 90 92 168 170 180 182	667597622472
STPT(10)	1245298287328166051	0 2 36 38 78 80 120 122 156 158	723671238684
STPT(10)	1245299394121793609	0 2 18 20 30 32 42 44 60 62	1830464866242
STPT(10)	1245299607072928607	0 2 30 32 72 74 114 116 144 146	2043416001240