Prime p₀= 2796950597711576807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2796949764475757647	0 30 64 72 82 84 96 106 120 130 142 144 154 162 196 226	-833235819160
STPT(10)	2796949865790090419	0 2 12 14 90 92 168 170 180 182	-731921486388
SPT(16)	2796950167383360361	0 6 16 22 60 66 72 90 172 190 196 202 240 246 256 262	-430328216446
SPT(16)	2796950272611967453	0 10 48 88 108 114 234 238 300 304 424 430 450 490 528 538	-325099609354
TPT(14)	2796950436498705521	0 2 60 62 66 68 126 128 138 140 270 272 306 308	-161212871286
SPT(16)	2796950544721246939	0 48 54 72 78 82 88 100 102 114 120 124 130 148 154 202	-52990329868
STPT(10)	2796951219312310829	0 2 18 20 30 32 42 44 60 62	621600734022
SPT(16)	2796951670152243829	0 40 42 112 114 130 142 172 192 222 234 250 252 322 324 364	1072440667022
STPT(10)	2796951812676431819	0 2 12 14 90 92 168 170 180 182	1214964855012
STPT(10)	2796952318490361431	0 2 156 158 168 170 180 182 336 338	1720778784624
STPT(10)	2796952640155027199	0 2 18 20 30 32 42 44 60 62	2042443450392