Prime p₀= 2565773824822950407 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)	2565772930750317637	0 6 16 66 70 96 136 174 202 240 280 306 310 360 370 376	-894072632770
SPT(16)	2565772945107052069	0 34 48 60 64 70 82 100 102 120 132 138 142 154 168 202	-879715898338
STPT(10)	2565773259934829699	0 2 18 20 30 32 42 44 60 62	-564888120708
SPT(16)	2565773395973443961	0 26 30 86 92 116 140 152 186 198 222 246 252 308 312 338	-428849506446
SPT(16)	2565773628993048197	0 12 14 120 132 140 150 152 162 164 174 182 194 300 302 314	-195829902210
STPT(10)	2565773803356104321	0 2 30 32 78 80 126 128 156 158	-21466846086
SPT(16)	2565774282107354999	0 48 80 102 128 170 230 234 248 252 312 354 380 402 434 482	457284404592
SPT(16)	2565774509437755757	0 10 42 60 82 114 130 144 190 204 220 252 274 292 324 334	684614805350
TPT(14)	2565774707876076251	0 2 36 38 120 122 126 128 198 200 216 218 228 230	883053125844
STPT(10)	2565774759924547019	0 2 30 32 60 62 90 92 120 122	935101596612
STPT(10)	2565774857557673051	0 2 66 68 138 140 210 212 276 278	1032734722644