Prime p₀= 4044939688435957931 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 10 20 12 46 24 8 22 8 24 46 12 20 10 68 (?)
a_n: 0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 398
Found by: JonS
db: batch=84, k=16, 68 10 20 12 46 24 8 22

STPT(10)	4044938280681266789	0 2 42 44 60 62 78 80 120 122	-1407754691142
STPT(10)	4044938708202524681	0 2 6 8 48 50 90 92 96 98	-980233433250
STPT(10)	4044938803496490041	0 2 6 8 18 20 30 32 36 38	-884939467890
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	-755831693050
STPT(12)	4044939167449691921	0 2 48 50 90 92 126 128 168 170 216 218	-520986266010
SPT(16)	4044939578434079861	0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398	-110001878070
SPT(16)	4044939848240303273	0 18 66 86 108 114 156 158 216 218 260 266 288 308 356 374	159804345342
STPT(10)	4044940139894543969	0 2 48 50 60 62 72 74 120 122	451458586038
SPT(16)	4044940328578478339	0 44 72 98 114 150 174 240 272 338 362 398 414 440 468 512	640142520408
SPT(16)	4044940435972109851	0 16 30 108 126 136 150 156 172 178 192 202 220 298 312 328	747536151920
STPT(10)	4044940559896164737	0 2 12 14 42 44 72 74 84 86	871460206806