Prime p₀= 2569876836688422797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: RFGuy_KCCO
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2569874942233280411	0 2 8 30 80 90 92 122 126 156 158 168 218 240 246 248	-1894455142386
TPT(14)	2569875036880430549	0 2 12 14 30 32 48 50 138 140 228 230 270 272	-1799807992248
STPT(10)	2569875154628705657	0 2 24 26 42 44 60 62 84 86	-1682059717140
SPT(16)	2569875635007506993	0 6 26 48 96 126 140 198 206 264 278 308 356 378 398 404	-1201680915804
SPT(16)	2569875923785262509	0 42 54 60 130 132 174 204 208 238 280 282 352 358 370 412	-912903160288
SPT(16)	2569876299447347977	0 4 6 10 30 34 106 162 184 240 312 316 336 340 342 346	-537241074820
SPT(16)	2569877312085820691	0 38 56 66 96 138 140 198 218 276 278 320 350 360 378 416	475397397894
STPT(10)	2569877428888741241	0 2 6 8 48 50 90 92 96 98	592200318444
TPT(14)	2569877450420749949	0 2 30 32 42 44 72 74 102 104 132 134 138 140	613732327152
SPT(16)	2569877476540928639	0 18 24 60 68 78 158 204 308 354 434 444 452 488 494 512	639852505842
SPT(16)	2569877781585847123	0 6 28 40 76 144 160 186 208 234 250 318 354 366 388 394	944897424326