Prime p₀= 4044940139894543969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: JonS
db: batch=84, k=10, 2 46 2 10 2

STPT(10)	4044938803496490041	0 2 6 8 18 20 30 32 36 38	-1336398053928
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	-1207290279088
STPT(12)	4044939167449691921	0 2 48 50 90 92 126 128 168 170 216 218	-972444852048
SPT(16)	4044939578434079861	0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398	-561460464108
SPT(16)	4044939688435957931	0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398	-451458586038
SPT(16)	4044939848240303273	0 18 66 86 108 114 156 158 216 218 260 266 288 308 356 374	-291654240696
SPT(16)	4044940328578478339	0 44 72 98 114 150 174 240 272 338 362 398 414 440 468 512	188683934370
SPT(16)	4044940435972109851	0 16 30 108 126 136 150 156 172 178 192 202 220 298 312 328	296077565882
STPT(10)	4044940559896164737	0 2 12 14 42 44 72 74 84 86	420001620768
TPT(14)	4044941601915797039	0 2 72 74 120 122 162 164 240 242 330 332 378 380	1462021253070
SPT(16)	4044941636746998017	0 6 62 84 86 90 164 174 182 192 266 270 272 294 350 356	1496852454048