Prime p₀= 2562741857360025137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2562740004260146327	0 4 22 70 106 126 144 154 162 172 190 210 246 294 312 316	-1853099878810
SPT(16)	2562740673295718191	0 28 66 78 96 108 126 160 168 202 220 232 250 262 300 328	-1184064306946
SPT(16)	2562740962557094087	0 4 40 46 82 94 150 184 222 256 312 324 360 366 402 406	-894802931050
SPT(16)	2562740989483264453	0 36 54 58 70 114 118 120 154 156 160 204 216 220 238 274	-867876760684
STPT(10)	2562741044530698971	0 2 30 32 60 62 90 92 120 122	-812829326166
STPT(10)	2562741065014008761	0 2 36 38 78 80 120 122 156 158	-792346016376
SPT(16)	2562741896191799239	0 24 84 100 108 114 130 144 154 168 184 190 198 214 274 298	38831774102
STPT(10)	2562741909485389529	0 2 18 20 30 32 42 44 60 62	52125364392
SPT(16)	2562742216484909051	0 42 50 92 102 150 308 332 348 372 530 578 588 630 638 680	359124883914
STPT(10)	2562742247528313377	0 2 72 74 102 104 132 134 204 206	390168288240
STPT(10)	2562742729940738507	0 2 30 32 42 44 54 56 84 86	872580713370