Prime p₀= 4305715431539200487 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4305713650606875677	0 30 32 42 56 74 80 84 122 126 132 150 164 174 176 206	-1780932324810
STPT(10)	4305713855094379727	0 2 24 26 42 44 60 62 84 86	-1576444820760
STPT(10)	4305714536309647289	0 2 12 14 90 92 168 170 180 182	-895229553198
STPT(10)	4305714710762354507	0 2 72 74 102 104 132 134 204 206	-720776845980
SPT(16)	4305714852349614839	0 32 42 50 72 84 144 182 192 230 290 302 324 332 342 374	-579189585648
SPT(16)	4305715036498033381	0 48 72 90 112 130 136 160 168 192 198 216 238 256 280 328	-395041167106
STPT(10)	4305716238768175211	0 2 36 38 78 80 120 122 156 158	807228974724
SPT(16)	4305716734123381309	0 12 28 42 118 120 124 130 162 168 172 174 250 264 280 292	1302584180822
STPT(10)	4305717130819284137	0 2 60 62 72 74 84 86 144 146	1699280083650
SPT(16)	4305717207992427307	0 66 84 100 124 126 156 190 240 274 304 306 330 346 364 430	1776453226820
SPT(16)	4305717604962961219	0 58 90 102 138 142 148 168 244 264 270 274 310 322 354 412	2173423760732