Prime p₀= 2552423749516078967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2552421598875083423	0 14 24 66 78 104 108 138 176 206 210 236 248 290 300 314	-2150640995544
STPT(10)	2552422672702916771	0 2 6 8 18 20 30 32 36 38	-1076813162196
SPT(16)	2552423128740234523	0 96 168 198 208 250 294 364 420 490 534 576 586 616 688 784	-620775844444
SPT(16)	2552423348409742693	0 6 28 46 64 106 130 160 174 204 228 270 288 306 328 334	-401106336274
STPT(10)	2552423453185606199	0 2 42 44 90 92 138 140 180 182	-296330472768
SPT(16)	2552423517484546099	0 28 52 88 108 130 132 150 172 190 192 214 234 270 294 322	-232031532868
STPT(10)	2552423753924867057	0 2 42 44 72 74 102 104 144 146	4408788090
STPT(10)	2552424095959838027	0 2 54 56 72 74 90 92 144 146	346443759060
STPT(10)	2552424419298528347	0 2 24 26 42 44 60 62 84 86	669782449380
STPT(12)	2552425163947469561	0 2 36 38 48 50 78 80 90 92 126 128	1414431390594
SPT(16)	2552425974491830691	0 2 18 38 80 90 122 146 312 336 368 378 420 440 456 458	2224975751724