Prime p₀= 2367875866197077417 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: kashi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2367874087785514709	0 14 20 32 60 98 102 122 150 170 174 212 240 252 258 272	-1778411562708
STPT(10)	2367874093229447861	0 2 36 38 78 80 120 122 156 158	-1772967629556
SPT(16)	2367874461103104529	0 34 52 70 78 94 118 130 132 144 168 184 192 210 228 262	-1405093972888
STPT(10)	2367874523730120257	0 2 30 32 72 74 114 116 144 146	-1342466957160
SPT(16)	2367874924751247727	0 4 36 60 90 100 106 114 256 264 270 280 310 334 366 370	-941445829690
STPT(10)	2367875273132056937	0 2 30 32 42 44 54 56 84 86	-593065020480
TPT(14)	2367875910378984881	0 2 30 32 96 98 108 110 126 128 150 152 168 170	44181907464
SPT(16)	2367875993953534297	0 4 10 52 60 100 142 156 190 204 246 286 294 336 342 346	127756456880
SPT(16)	2367876014279358841	0 70 96 202 238 240 276 286 342 352 388 390 426 532 558 628	148082281424
SPT(16)	2367876131078741561	0 12 50 68 80 110 146 158 210 222 258 288 300 318 356 368	264881664144
SPT(16)	2367876450191456621	0 8 26 110 132 170 176 198 200 222 228 266 288 372 390 398	583994379204