Prime p₀= 2562178976749265297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2562176797865783779	0 22 30 48 72 114 160 174 178 192 238 280 304 322 330 352	-2178883481518
STPT(10)	2562177104002878959	0 2 42 44 60 62 78 80 120 122	-1872746386338
SPT(16)	2562177475013706623	0 6 30 36 234 306 360 374 390 404 458 530 728 734 758 764	-1501735558674
SPT(16)	2562178051266191623	0 4 24 58 70 108 160 180 214 234 286 324 336 370 390 394	-925483073674
SPT(18)	2562178552336058039	0 30 38 90 128 150 158 170 212 228 270 282 290 312 350 402 410 440	-424413207258
STPT(10)	2562178942438310441	0 2 36 38 138 140 240 242 276 278	-34310954856
STPT(10)	2562179054878723331	0 2 6 8 18 20 30 32 36 38	78129458034
STPT(10)	2562179085299690609	0 2 18 20 30 32 42 44 60 62	108550425312
STPT(10)	2562179128313636561	0 2 36 38 78 80 120 122 156 158	151564371264
SPT(16)	2562179503482997031	0 2 6 18 20 72 86 90 98 102 116 168 170 182 186 188	526733731734
SPT(16)	2562179508889935419	0 8 24 30 50 60 92 114 128 150 182 192 212 218 234 242	532140670122