Prime p₀= 2161569717987429689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2161568141390288377	0 4 22 36 60 64 66 70 126 130 132 136 160 174 192 196	-1576597141312
SPT(16)	2161568523739594363	0 60 78 106 144 148 168 174 190 196 216 220 258 286 304 364	-1194247835326
SPT(16)	2161568681758179817	0 12 22 76 96 156 204 232 264 292 340 400 420 474 484 496	-1036229249872
STPT(10)	2161569152797225217	0 2 54 56 72 74 90 92 144 146	-565190204472
SPT(16)	2161569240593564027	0 6 20 44 56 66 74 92 114 132 140 150 162 186 200 206	-477393865662
STPT(10)	2161569650031811289	0 2 48 50 90 92 132 134 180 182	-67955618400
TPT(16)	2161570673108483627	0 2 12 14 42 44 72 74 102 104 174 176 222 224 240 242	955121053938
TPT(14)	2161570744451909801	0 2 48 50 96 98 108 110 180 182 216 218 288 290	1026464480112
STPT(10)	2161570831694803559	0 2 18 20 30 32 42 44 60 62	1113707373870
STPT(10)	2161570940624179751	0 2 6 8 18 20 30 32 36 38	1222636750062
SPT(16)	2161570990345437977	0 12 56 60 80 102 146 164 252 270 314 336 356 360 404 416	1272358008288