Prime p₀= 1459090182567100817 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: Theadalus
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1459089677327203021	0 6 22 42 60 70 90 106 156 172 192 202 220 240 256 262	-505239897796
SPT(16)	1459089708906701419	0 30 42 52 88 94 142 144 268 270 318 324 360 370 382 412	-473660399398
STPT(10)	1459089756601695269	0 2 18 20 60 62 102 104 120 122	-425965405548
STPT(10)	1459089823027844279	0 2 18 20 30 32 42 44 60 62	-359539256538
STPT(10)	1459089830266754141	0 2 30 32 78 80 126 128 156 158	-352300346676
SPT(20)	1459089833449515221	0 8 50 128 138 182 248 278 308 318 320 330 360 390 456 500 510 588 630 638	-349117585596
SPT(16)	1459090190548054657	0 6 52 120 126 132 136 160 162 186 190 196 202 270 316 322	7980953840
SPT(16)	1459090734480465529	0 34 42 72 108 120 132 214 258 340 352 364 400 430 438 472	551913364712
STPT(10)	1459090742273313011	0 2 36 38 78 80 120 122 156 158	559706212194
STPT(10)	1459091097261508769	0 2 42 44 60 62 78 80 120 122	914694407952
SPT(16)	1459091234707480457	0 2 74 102 152 200 210 224 282 296 306 354 404 432 504 506	1052140379640