Prime p₀= 2317385705243004563 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 50 72 24 6 54 30 10 30 54 6 24 72 50 18 (?)
a_n: 0 18 68 140 164 170 224 254 264 294 348 354 378 450 500 518
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: 518
Found by: Landjunge
db: batch=81, k=16, 18 50 72 24 6 54 30 10

STPT(10)	2317384811270422079	0 2 42 44 90 92 138 140 180 182	-893972582484
STPT(10)	2317385034388324721	0 2 6 8 18 20 30 32 36 38	-670854679842
SPT(16)	2317385103569946323	0 20 68 90 96 140 144 156 158 170 174 218 224 246 294 314	-601673058240
TPT(14)	2317385129465022431	0 2 6 8 48 50 78 80 126 128 138 140 150 152	-575777982132
SPT(16)	2317385200914939971	0 12 18 36 78 90 96 138 140 182 188 200 242 260 266 278	-504328064592
SPT(16)	2317385277600642497	0 14 26 114 152 180 252 290 306 344 416 444 482 570 582 596	-427642362066
STPT(10)	2317385725063723157	0 2 30 32 42 44 54 56 84 86	19820718594
TPT(14)	2317385880777821729	0 2 30 32 78 80 168 170 360 362 390 392 462 464	175534817166
SPT(16)	2317386528707676893	0 8 26 48 54 78 84 134 150 200 206 230 236 258 276 284	823464672330
SPT(16)	2317386561304624283	0 18 36 60 68 126 138 158 168 188 200 258 266 290 308 326	856061619720
SPT(16)	2317387562483764787	0 30 56 150 200 210 224 240 260 276 290 300 350 444 470 500	1857240760224