Prime p₀= 2161569152797225217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2161567466843655061	0 6 10 28 58 76 90 156 190 256 270 288 318 336 340 346	-1685953570156
SPT(16)	2161567849474096499	0 2 14 20 50 60 72 102 200 230 242 252 282 288 300 302	-1303323128718
SPT(16)	2161567856422172587	0 6 22 60 102 112 142 154 162 174 204 214 256 294 310 316	-1296375052630
SPT(16)	2161568141390288377	0 4 22 36 60 64 66 70 126 130 132 136 160 174 192 196	-1011406936840
SPT(16)	2161568523739594363	0 60 78 106 144 148 168 174 190 196 216 220 258 286 304 364	-629057630854
SPT(16)	2161568681758179817	0 12 22 76 96 156 204 232 264 292 340 400 420 474 484 496	-471039045400
SPT(16)	2161569240593564027	0 6 20 44 56 66 74 92 114 132 140 150 162 186 200 206	87796338810
STPT(10)	2161569650031811289	0 2 48 50 90 92 132 134 180 182	497234586072
STPT(10)	2161569717987429689	0 2 42 44 60 62 78 80 120 122	565190204472
TPT(16)	2161570673108483627	0 2 12 14 42 44 72 74 102 104 174 176 222 224 240 242	1520311258410
TPT(14)	2161570744451909801	0 2 48 50 96 98 108 110 180 182 216 218 288 290	1591654684584