Prime p₀= 2566662491314264709 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: RFGuy_KCCO
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2566661599731925757	0 12 24 26 42 222 242 270 326 354 374 554 570 572 584 596	-891582338952
STPT(10)	2566661724457527209	0 2 42 44 60 62 78 80 120 122	-766856737500
SPT(16)	2566662089931268631	0 30 38 66 80 86 96 108 158 170 180 186 200 228 236 266	-401382996078
SPT(16)	2566662260337318503	0 6 8 110 174 240 248 258 296 306 314 380 444 546 548 554	-230976946206
STPT(10)	2566662280798756097	0 2 60 62 72 74 84 86 144 146	-210515508612
SPT(16)	2566662466727751611	0 6 18 36 60 66 86 150 266 330 350 356 380 398 410 416	-24586513098
SPT(16)	2566662868344997021	0 66 112 138 150 162 168 172 186 190 196 208 220 246 292 358	377030732312
STPT(10)	2566662883770830441	0 2 36 38 78 80 120 122 156 158	392456565732
STPT(10)	2566663364756702987	0 2 12 14 42 44 72 74 84 86	873442438278
STPT(10)	2566663402332399281	0 2 6 8 18 20 30 32 36 38	911018134572
SPT(16)	2566664089249311053	0 6 14 44 66 98 104 144 170 210 216 248 270 300 308 314	1597935046344