Prime p₀= 2161117381524566807 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2161116792836110787	0 2 12 14 42 44 72 74 84 86	-588688456020
STPT(10)	2161116853991848097	0 2 42 44 72 74 102 104 144 146	-527532718710
SPT(16)	2161116876045108529	0 10 60 72 78 88 94 100 162 168 174 184 190 202 252 262	-505479458278
SPT(16)	2161116950901849643	0 84 96 106 118 136 190 240 244 294 348 366 378 388 400 484	-430622717164
STPT(10)	2161117067767719959	0 2 42 44 60 62 78 80 120 122	-313756846848
STPT(10)	2161117242200714657	0 2 30 32 72 74 114 116 144 146	-139323852150
STPT(10)	2161117443214548389	0 2 18 20 30 32 42 44 60 62	61689981582
SPT(16)	2161117632035695141	0 76 142 156 172 222 256 268 450 462 496 546 562 576 642 718	250511128334
SPT(16)	2161117649768761451	0 26 50 92 96 102 126 132 146 152 176 182 186 228 252 278	268244194644
TPT(14)	2161117730379629939	0 2 168 170 282 284 318 320 360 362 390 392 420 422	348855063132
SPT(16)	2161117732751361199	0 34 40 48 58 60 84 90 112 118 142 144 154 162 168 202	351226794392