Prime p₀= 1412156357602171457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 72 24 14 12 88 30 6 20 6 30 88 12 14 24 72 (?)
a_n: 0 72 96 110 122 210 240 246 266 272 302 390 402 416 440 512
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: 512
Found by: Paul
db: batch=78, k=16, 72 24 14 12 88 30 6 20

SPT(16)	1412155784406547457	0 12 14 102 114 120 162 170 186 194 236 242 254 342 344 356	-573195624000
STPT(12)	1412155876737401837	0 2 60 62 84 86 240 242 264 266 324 326	-480864769620
SPT(16)	1412156053849105141	0 76 90 100 106 126 148 156 250 258 280 300 306 316 330 406	-303753066316
TPT(14)	1412156058696843737	0 2 12 14 60 62 102 104 132 134 144 146 180 182	-298905327720
STPT(10)	1412156064190346549	0 2 42 44 90 92 138 140 180 182	-293411824908
SPT(16)	1412156241735284777	0 42 50 56 84 110 116 140 216 240 246 272 300 306 314 356	-115866886680
SPT(16)	1412156551949261231	0 2 42 72 80 92 150 222 236 308 366 378 386 416 456 458	194347089774
STPT(10)	1412156589575277317	0 2 30 32 72 74 114 116 144 146	231973105860
STPT(10)	1412156683414233089	0 2 48 50 90 92 132 134 180 182	325812061632
SPT(16)	1412156894407916561	0 38 80 150 182 198 210 212 246 248 260 276 308 378 420 458	536805745104
STPT(10)	1412157164064088991	0 2 6 8 48 50 90 92 96 98	806461917534