Prime p₀= 1013580714158042167 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 82 42 2 28 2 28 6 26 6 28 2 28 2 42 82 (?)
a_n: 0 82 124 126 154 156 184 190 216 222 250 252 280 282 324 406
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: 406
Found by: stoneageman
db: batch=76, k=16, 82 42 2 28 2 28 6 26

SPT(16)	1013579907366902429	0 2 12 50 54 78 98 140 222 264 284 308 312 350 360 362	-806791139738
STPT(10)	1013580220060777487	0 2 30 32 42 44 54 56 84 86	-494097264680
STPT(10)	1013580283047888461	0 2 6 8 48 50 90 92 96 98	-431110153706
STPT(10)	1013580336669989069	0 2 18 20 60 62 102 104 120 122	-377488053098
SPT(16)	1013580472078792171	0 36 46 58 72 78 88 102 166 180 190 196 210 222 232 268	-242079249996
SPT(16)	1013580648096375613	0 46 78 126 150 160 216 246 268 298 354 364 388 436 468 514	-66061666554
SPT(16)	1013580806243232043	0 10 40 46 60 94 148 150 274 276 330 364 378 384 414 424	92085189876
SPT(16)	1013581000416134923	0 28 34 54 70 76 94 100 174 180 198 204 220 240 246 274	286258092756
SPT(16)	1013581135890050909	0 24 102 188 194 200 240 264 368 392 432 438 444 530 608 632	421732008742
TPT(14)	1013581479439290701	0 2 18 20 60 62 78 80 240 242 258 260 366 368	765281248534
SPT(16)	1013581728786991477	0 22 40 66 72 94 120 150 196 226 252 274 280 306 324 346	1014628949310