Prime p₀= 2367308260287080021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: eclipse99
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2367306371635016431	0 6 16 58 72 120 130 138 190 198 208 256 270 312 322 328	-1888652063590
STPT(10)	2367306429927265031	0 2 6 8 18 20 30 32 36 38	-1830359814990
STPT(10)	2367306617435095199	0 2 42 44 90 92 138 140 180 182	-1642851984822
STPT(10)	2367307423275071867	0 2 42 44 72 74 102 104 144 146	-837012008154
SPT(16)	2367307562688564863	0 44 50 66 86 104 146 168 176 198 240 258 278 294 300 344	-697598515158
SPT(16)	2367307667212521589	0 12 40 70 84 100 112 132 142 162 174 190 204 234 262 274	-593074558432
SPT(16)	2367308417699641303	0 10 18 34 60 108 144 150 154 160 196 244 270 286 294 304	157412561282
STPT(10)	2367308538825566417	0 2 42 44 72 74 102 104 144 146	278538486396
STPT(10)	2367309062525960207	0 2 30 32 72 74 114 116 144 146	802238880186
SPT(16)	2367309946201003787	0 14 90 132 180 194 200 210 356 366 372 386 434 476 552 566	1685913923766
STPT(10)	2367310001431120307	0 2 42 44 72 74 102 104 144 146	1741144040286