Prime p₀= 1412156894407916561 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 42 70 32 16 12 2 34 2 12 16 32 70 42 38 (?)
a_n: 0 38 80 150 182 198 210 212 246 248 260 276 308 378 420 458
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: 458
Found by: Paul
db: batch=78, k=16, 38 42 70 32 16 12 2 34

STPT(10)	1412156064190346549	0 2 42 44 90 92 138 140 180 182	-830217570012
SPT(16)	1412156241735284777	0 42 50 56 84 110 116 140 216 240 246 272 300 306 314 356	-652672631784
SPT(16)	1412156357602171457	0 72 96 110 122 210 240 246 266 272 302 390 402 416 440 512	-536805745104
SPT(16)	1412156551949261231	0 2 42 72 80 92 150 222 236 308 366 378 386 416 456 458	-342458655330
STPT(10)	1412156589575277317	0 2 30 32 72 74 114 116 144 146	-304832639244
STPT(10)	1412156683414233089	0 2 48 50 90 92 132 134 180 182	-210993683472
STPT(10)	1412157164064088991	0 2 6 8 48 50 90 92 96 98	269656172430
SPT(16)	1412158196175325231	0 6 10 70 136 166 196 210 292 306 336 366 432 492 496 502	1301767408670
TPT(16)	1412158455597086339	0 2 30 32 60 62 72 74 132 134 162 164 282 284 288 290	1561189169778
STPT(10)	1412158717829595299	0 2 12 14 90 92 168 170 180 182	1823421678738
SPT(16)	1412158760597029777	0 10 22 52 94 112 124 166 180 222 234 252 294 324 336 346	1866189113216