Prime p₀= 2419337107487705809 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 30 18 18 42 32 28 38 28 32 42 18 18 30 4 (?)
a_n: 0 4 34 52 70 112 144 172 210 238 270 312 330 348 378 382
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: 382
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 4 30 18 18 42 32 28 38

STPT(10)	2419335891108098771	0 2 6 8 48 50 90 92 96 98	-1216379607038
SPT(16)	2419336022007351631	0 6 48 66 70 90 100 108 178 186 196 216 220 238 280 286	-1085480354178
SPT(16)	2419336185351960841	0 18 22 30 40 106 156 180 238 262 312 378 388 396 400 418	-922135744968
STPT(10)	2419336282266164867	0 2 12 14 72 74 132 134 144 146	-825221540942
STPT(10)	2419336395455930129	0 2 12 14 90 92 168 170 180 182	-712031775680
SPT(16)	2419336530438872419	0 48 58 72 90 102 162 172 228 238 298 310 328 342 352 400	-577048833390
SPT(16)	2419337486117838001	0 6 18 46 52 132 148 150 238 240 256 336 342 370 382 388	378630132192
STPT(10)	2419337825938490447	0 2 12 14 42 44 72 74 84 86	718450784638
SPT(16)	2419337927010495593	0 18 60 84 98 114 138 170 198 230 254 270 284 308 350 368	819522789784
STPT(10)	2419338215051367677	0 2 12 14 72 74 132 134 144 146	1107563661868
SPT(16)	2419338248737023491	0 12 62 80 98 128 146 150 278 282 300 330 348 366 416 428	1141249317682