Prime p₀= 2577051620335712489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Penguin
db: batch=82, k=10, 2 10 2 16 2

STPT(10)	2577050604200676977	0 2 42 44 102 104 162 164 204 206	-1016135035512
SPT(16)	2577050827137597623	0 44 66 68 120 134 156 186 218 248 270 284 336 338 360 404	-793198114866
SPT(18)	2577050923801555897	0 22 24 36 72 90 156 174 190 246 262 280 346 364 400 412 414 436	-696534156592
STPT(10)	2577051126734023727	0 2 60 62 72 74 84 86 144 146	-493601688762
SPT(16)	2577051367176546583	0 30 70 130 136 138 156 166 198 208 226 228 234 294 334 364	-253159165906
SPT(16)	2577051531501388673	0 14 20 36 44 116 140 156 158 174 198 270 278 294 300 314	-88834323816
SPT(16)	2577051986510751653	0 36 44 54 80 150 164 180 194 210 224 294 320 330 338 374	366175039164
STPT(10)	2577052351683476657	0 2 42 44 72 74 102 104 144 146	731347764168
STPT(10)	2577052440643563479	0 2 18 20 60 62 102 104 120 122	820307850990
STPT(10)	2577052472669722259	0 2 42 44 60 62 78 80 120 122	852334009770
SPT(16)	2577052475655272051	0 6 12 108 140 162 176 182 216 222 236 258 290 386 392 398	855319559562