Prime p₀= 2556382710327987257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2556380952983316167	0 14 60 102 132 174 212 230 354 372 410 452 482 524 570 584	-1757344671090
SPT(16)	2556381176845391837	0 14 32 36 86 102 116 126 260 270 284 300 350 354 372 386	-1533482595420
SPT(16)	2556381238782977569	0 18 28 34 88 130 144 150 172 178 192 234 288 294 304 322	-1471545009688
SPT(16)	2556381418907338091	0 2 6 38 42 60 86 90 98 102 128 146 150 182 186 188	-1291420649166
TPT(14)	2556381592684385111	0 2 60 62 126 128 216 218 228 230 246 248 330 332	-1117643602146
STPT(12)	2556382291628951867	0 2 12 14 30 32 72 74 90 92 102 104	-418699035390
STPT(10)	2556382711207631609	0 2 78 80 120 122 162 164 240 242	879644352
STPT(10)	2556382973506078427	0 2 12 14 42 44 72 74 84 86	263178091170
SPT(13)	2556383532154714897	0 12 66 120 126 150 186 222 246 252 306 360 372	821826727640
SPT(16)	2556383783826753833	0 14 168 170 254 294 318 410 414 506 530 570 654 656 810 824	1073498766576
STPT(10)	2556384084290593157	0 2 30 32 42 44 54 56 84 86	1373962605900