Prime p₀= 2451598711750645159 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 14 16 2 28 12 32 76 32 12 28 2 16 14 10 (?)
a_n: 0 10 24 40 42 70 82 114 190 222 234 262 264 280 294 304
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: 304
Found by: JayPi
db: batch=82, k=16, 10 14 16 2 28 12 32 76

SPT(16)	2451598060199084801	0 30 32 96 102 132 146 176 222 252 266 296 302 366 368 398	-651551560358
TPT(14)	2451598101943970591	0 2 66 68 78 80 108 110 126 128 150 152 216 218	-609806674568
SPT(16)	2451598104384798511	0 6 10 22 36 48 58 76 102 120 130 142 156 168 172 178	-607365846648
SPT(16)	2451598138998131329	0 10 34 52 72 82 84 114 118 148 150 160 180 198 222 232	-572752513830
STPT(10)	2451598653569000237	0 2 30 32 42 44 54 56 84 86	-58181644922
STPT(10)	2451598677067844597	0 2 42 44 72 74 102 104 144 146	-34682800562
SPT(16)	2451598831229358539	0 68 78 144 170 182 200 204 218 222 240 252 278 344 354 422	119478713380
SPT(16)	2451599072731352801	0 32 36 50 138 140 168 176 192 200 228 230 318 332 336 368	360980707642
SPT(16)	2451599496249304519	0 4 30 34 42 144 154 172 240 258 268 370 378 382 408 412	784498659360
SPT(16)	2451599946743577653	0 18 20 36 78 86 126 140 246 260 300 308 350 366 368 386	1234992932494
SPT(16)	2451600724071888839	0 24 42 62 98 120 134 140 192 198 212 234 270 290 308 332	2012321243680