Prime p₀= 2322137167428247199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2322135900141886319	0 2 30 32 72 74 78 80 108 110 192 194 402 404	-1267286360880
STPT(10)	2322135912115112867	0 2 42 44 72 74 102 104 144 146	-1255313134332
SPT(16)	2322135984871993033	0 24 30 58 204 220 234 256 258 280 294 310 456 484 490 514	-1182556254166
STPT(12)	2322136468309117259	0 2 42 44 60 62 72 74 90 92 132 134	-699119129940
SPT(16)	2322136511431934537	0 6 26 42 90 92 96 114 152 170 174 176 224 240 260 266	-655996312662
STPT(10)	2322136701248968697	0 2 30 32 60 62 90 92 120 122	-466179278502
SPT(16)	2322137425358473171	0 30 70 72 88 102 106 130 168 192 196 210 226 228 268 298	257930225972
STPT(10)	2322137426677881077	0 2 42 44 72 74 102 104 144 146	259249633878
STPT(10)	2322137511951574307	0 2 12 14 72 74 132 134 144 146	344523327108
SPT(16)	2322137601144008581	0 52 76 112 136 156 178 258 310 390 412 432 456 492 516 568	433715761382
SPT(16)	2322137758573084967	0 26 32 36 50 110 116 126 170 180 186 246 260 264 270 296	591144837768