Prime p₀= 4305716238768175211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Chooka
db: batch=85, k=10, 2 34 2 40 2

STPT(10)	4305713855094379727	0 2 24 26 42 44 60 62 84 86	-2383673795484
STPT(10)	4305714536309647289	0 2 12 14 90 92 168 170 180 182	-1702458527922
STPT(10)	4305714710762354507	0 2 72 74 102 104 132 134 204 206	-1528005820704
SPT(16)	4305714852349614839	0 32 42 50 72 84 144 182 192 230 290 302 324 332 342 374	-1386418560372
SPT(16)	4305715036498033381	0 48 72 90 112 130 136 160 168 192 198 216 238 256 280 328	-1202270141830
STPT(10)	4305715431539200487	0 2 30 32 42 44 54 56 84 86	-807228974724
SPT(16)	4305716734123381309	0 12 28 42 118 120 124 130 162 168 172 174 250 264 280 292	495355206098
STPT(10)	4305717130819284137	0 2 60 62 72 74 84 86 144 146	892051108926
SPT(16)	4305717207992427307	0 66 84 100 124 126 156 190 240 274 304 306 330 346 364 430	969224252096
SPT(16)	4305717604962961219	0 58 90 102 138 142 148 168 244 264 270 274 310 322 354 412	1366194786008
SPT(16)	4305718056887775707	0 2 12 56 72 86 90 116 126 152 156 170 186 230 240 242	1818119600496