Prime p₀= 725722825270416977 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: CThiede
db: batch=73, k=10, 2 52 2 76 2

SPT(16)	725721819084504041	0 8 20 30 42 48 98 108 272 282 332 338 350 360 372 380	-1006185912936
SPT(16)	725721850942741969	0 24 72 144 154 210 222 228 274 280 292 348 358 430 478 502	-974327675008
STPT(10)	725721946775059889	0 2 48 50 90 92 132 134 180 182	-878495357088
SPT(16)	725722020267478667	0 12 26 30 54 90 104 114 122 132 146 182 206 210 224 236	-805002938310
STPT(10)	725722508890115249	0 2 42 44 60 62 78 80 120 122	-316380301728
SPT(16)	725722787615371621	0 18 52 70 82 130 196 208 390 402 468 516 528 546 580 598	-37655045356
STPT(12)	725722878607547669	0 2 30 32 60 62 102 104 132 134 162 164	53337130692
STPT(10)	725723072720982377	0 2 30 32 42 44 54 56 84 86	247450565400
STPT(10)	725723093509433387	0 2 30 32 42 44 54 56 84 86	268239016410
STPT(10)	725723321855857649	0 2 18 20 60 62 102 104 120 122	496585440672
SPT(16)	725723510787022133	0 44 80 158 198 218 224 306 308 390 396 416 456 534 570 614	685516605156