Prime p₀= 2417654941245952301 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 72 14 34 126 6 30 2 30 6 126 34 14 72 6 (?)
a_n: 0 6 78 92 126 252 258 288 290 320 326 452 486 500 572 578
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: 578
Found by: JayPi
db: batch=82, k=16, 6 72 14 34 126 6 30 2

SPT(16)	2417654017005561727	0 54 94 112 120 130 154 162 172 180 204 214 222 240 280 334	-924240390574
STPT(10)	2417654145484750769	0 2 42 44 60 62 78 80 120 122	-795761201532
SPT(16)	2417654291739345443	0 30 44 54 114 120 156 168 236 248 284 290 350 360 374 404	-649506606858
SPT(16)	2417654388755926319	0 30 72 80 150 182 200 224 240 264 282 314 384 392 434 464	-552490025982
STPT(10)	2417654728063039649	0 2 18 20 30 32 42 44 60 62	-213182912652
SPT(16)	2417654798861255299	0 48 100 112 150 162 180 198 202 220 238 250 288 300 352 400	-142384697002
SPT(16)	2417655152994912209	0 12 32 54 114 134 170 222 242 294 330 350 410 432 452 464	211748959908
SPT(16)	2417655910787013023	0 8 18 36 50 56 66 86 108 128 138 144 158 176 186 194	969541060722
STPT(10)	2417656333209665027	0 2 30 32 42 44 54 56 84 86	1391963712726
STPT(10)	2417656443847143617	0 2 24 26 42 44 60 62 84 86	1502601191316
STPT(10)	2417657291809826747	0 2 90 92 102 104 114 116 204 206	2350563874446