Prime p₀= 2319257861974805683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 38 4 68 6 36 4 36 6 68 4 38 4 24 (?)
a_n: 0 24 28 66 70 138 144 180 184 220 226 294 298 336 340 364
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: 364
Found by: Orange Kid
db: batch=81, k=16, 24 4 38 4 68 6 36 4

SPT(16)	2319256913025949661	0 30 42 50 120 140 156 162 290 296 312 332 402 410 422 452	-948948856022
SPT(16)	2319256955990889751	0 22 30 70 126 132 156 160 168 172 196 202 258 298 306 328	-905983915932
SPT(16)	2319256988974798669	0 12 54 114 118 132 144 150 202 208 220 234 238 298 340 352	-873000007014
STPT(10)	2319257245129997111	0 2 36 38 78 80 120 122 156 158	-616844808572
SPT(16)	2319257426078468537	0 2 50 72 90 146 186 200 366 380 420 476 494 516 564 566	-435896337146
TPT(14)	2319257556082190747	0 2 84 86 90 92 210 212 270 272 282 284 312 314	-305892614936
SPT(16)	2319258181933139641	0 10 12 52 78 82 106 168 190 252 276 280 306 346 348 358	319958333958
STPT(10)	2319258233232724541	0 2 6 8 18 20 30 32 36 38	371257918858
SPT(16)	2319258385439930633	0 24 48 66 74 108 140 186 188 234 266 300 308 326 350 374	523465124950
STPT(10)	2319258632778489299	0 2 18 20 60 62 102 104 120 122	770803683616
SPT(16)	2319258769882425913	0 10 16 24 54 64 70 90 100 120 126 136 166 174 180 190	907907620230