Prime p₀= 2814569176639704299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

TPT(14)	2814566548458259919	0 2 30 32 42 44 120 122 162 164 198 200 228 230	-2628181444380
STPT(10)	2814567218824852037	0 2 30 32 42 44 54 56 84 86	-1957814852262
SPT(16)	2814567595892148073	0 18 24 46 70 84 124 136 138 150 190 204 228 250 256 274	-1580747556226
STPT(10)	2814567628480127369	0 2 12 14 90 92 168 170 180 182	-1548159576930
SPT(16)	2814568738795096733	0 8 14 36 38 60 66 80 84 98 104 126 128 150 156 164	-437844607566
TPT(16)	2814569151091258499	0 2 78 80 120 122 162 164 168 170 252 254 432 434 492 494	-25548445800
STPT(10)	2814569457203238401	0 2 6 8 18 20 30 32 36 38	280563534102
STPT(10)	2814569533845290951	0 2 36 38 78 80 120 122 156 158	357205586652
SPT(16)	2814569538829203599	0 54 90 104 120 134 170 210 224 264 300 314 330 344 380 434	362189499300
STPT(10)	2814569622293828879	0 2 18 20 30 32 42 44 60 62	445654124580
STPT(10)	2814569737617298877	0 2 60 62 72 74 84 86 144 146	560977594578