Prime p₀= 2499342497294701909 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 44 24 12 28 12 44 16 44 12 28 12 24 44 34 (?)
a_n: 0 34 78 102 114 142 154 198 214 258 270 298 310 334 378 412
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: 412
Found by: Penguin
db: batch=82, k=16, 34 44 24 12 28 12 44 16

STPT(10)	2499340460062649351	0 2 30 32 78 80 126 128 156 158	-2037232052558
SPT(16)	2499341022801543761	0 12 36 38 42 78 86 98 180 192 200 236 240 242 266 278	-1474493158148
SPT(16)	2499341335644223153	0 10 28 54 88 154 160 166 228 234 240 306 340 366 384 394	-1161650478756
STPT(10)	2499341890133749979	0 2 42 44 90 92 138 140 180 182	-607160951930
STPT(10)	2499341898601264229	0 2 42 44 60 62 78 80 120 122	-598693437680
STPT(10)	2499342319319867849	0 2 18 20 60 62 102 104 120 122	-177974834060
SPT(16)	2499342582945295621	0 22 42 46 70 72 76 102 130 156 160 162 186 190 210 232	85650593712
SPT(16)	2499343122589902613	0 40 70 78 100 118 126 156 160 190 198 216 238 246 276 316	625295200704
SPT(16)	2499343353408883087	0 46 54 96 106 112 142 172 204 234 264 270 280 322 330 376	856114181178
SPT(16)	2499343710714726409	0 22 52 78 154 172 184 232 240 288 300 318 394 420 450 472	1213420024500
SPT(16)	2499343834376305141	0 42 52 120 210 240 250 262 366 378 388 418 508 576 586 628	1337081603232