Prime p₀= 2739388063229387617 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 4 26 48 36 76 14 76 36 48 26 4 2 4 (?)
a_n: 0 4 6 10 36 84 120 196 210 286 322 370 396 400 402 406
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: 406
Found by: JayPi
db: batch=82, k=16, 4 2 4 26 48 36 76 14

SPT(16)	2739386224986175619	0 24 38 50 78 158 200 210 218 228 270 350 378 390 404 428	-1838243211998
STPT(10)	2739386258222584511	0 2 30 32 78 80 126 128 156 158	-1805006803106
STPT(10)	2739387115566904181	0 2 36 38 78 80 120 122 156 158	-947662483436
SPT(16)	2739387433820169359	0 38 44 80 120 192 210 218 294 302 320 392 432 468 474 512	-629409218258
SPT(16)	2739387565722163423	0 4 34 48 138 174 196 210 214 228 250 286 376 390 420 424	-497507224194
SPT(16)	2739388060653122521	0 10 18 48 60 88 100 102 166 168 180 208 220 250 258 268	-2576265096
SPT(20)	2739388147982674093	0 6 34 48 54 234 244 318 328 330 364 366 376 450 460 640 646 660 688 694	84753286476
SPT(16)	2739388239870586673	0 6 50 56 134 144 150 176 234 260 266 276 354 360 404 410	176641199056
STPT(10)	2739388387758397127	0 2 30 32 42 44 54 56 84 86	324529009510
STPT(10)	2739388412642755931	0 2 36 38 78 80 120 122 156 158	349413368314
STPT(12)	2739388462239414407	0 2 30 32 42 44 120 122 132 134 162 164	399010026790