Prime p₀= 3001437001297384607 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3001435566469328221	0 46 48 58 100 120 136 150 238 252 268 288 330 340 342 388	-1434828056386
STPT(10)	3001436061044699849	0 2 18 20 30 32 42 44 60 62	-940252684758
SPT(16)	3001436466615359879	0 42 74 84 122 144 170 192 200 222 248 270 308 318 350 392	-534682024728
STPT(10)	3001436487562839251	0 2 30 32 78 80 126 128 156 158	-513734545356
SPT(16)	3001436684534759249	0 30 38 42 50 78 104 182 240 318 344 372 380 384 392 422	-316762625358
SPT(16)	3001436832923906921	0 18 20 26 32 90 110 126 152 168 188 246 252 258 260 278	-168373477686
SPT(16)	3001437067393171163	0 18 50 78 110 138 198 210 278 290 350 378 410 438 470 488	66095786556
SPT(16)	3001437179049216223	0 18 28 46 60 114 136 154 210 228 250 304 318 336 346 364	177751831616
STPT(10)	3001437539287886561	0 2 36 38 78 80 120 122 156 158	537990501954
STPT(10)	3001437652198645997	0 2 30 32 42 44 54 56 84 86	650901261390
STPT(10)	3001438070819743739	0 2 18 20 30 32 42 44 60 62	1069522359132