Prime p₀= 2715458047938634231 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 34 30 50 42 10 14 166 14 10 42 50 30 34 36 (?)
a_n: 0 36 70 100 150 192 202 216 382 396 406 448 498 528 562 598
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: 598
Found by: Orange Kid
db: batch=82, k=16, 36 34 30 50 42 10 14 166

SPT(16)	2715456094123755023	0 38 68 84 140 156 170 174 290 294 308 324 380 396 426 464	-1953814879208
TPT(14)	2715456285721416707	0 2 30 32 150 152 264 266 372 374 462 464 582 584	-1762217217524
SPT(16)	2715457526817266237	0 2 12 26 86 90 114 140 156 182 206 210 270 284 294 296	-521121367994
SPT(16)	2715457764711307817	0 6 14 26 32 90 92 110 126 144 146 204 210 222 230 236	-283227326414
SPT(16)	2715457903831394209	0 12 24 28 34 54 64 82 120 138 148 168 174 178 190 202	-144107240022
STPT(10)	2715457913940025547	0 2 42 44 72 74 102 104 144 146	-133998608684
TPT(14)	2715458119172297489	0 2 18 20 48 50 210 212 300 302 342 344 462 464	71233663258
TPT(14)	2715458310713619761	0 2 6 8 66 68 78 80 108 110 138 140 168 170	262774985530
STPT(10)	2715458318118323819	0 2 18 20 30 32 42 44 60 62	270179689588
TPT(14)	2715458518260606101	0 2 18 20 60 62 90 92 168 170 216 218 228 230	470321971870
SPT(16)	2715458674799890559	0 8 12 30 42 44 72 78 134 140 168 170 182 200 204 212	626861256328