Prime p₀= 1412156589575277317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Paul
db: batch=78, k=10, 2 28 2 40 2

SPT(16)	1412156053849105141	0 76 90 100 106 126 148 156 250 258 280 300 306 316 330 406	-535726172176
TPT(14)	1412156058696843737	0 2 12 14 60 62 102 104 132 134 144 146 180 182	-530878433580
STPT(10)	1412156064190346549	0 2 42 44 90 92 138 140 180 182	-525384930768
SPT(16)	1412156241735284777	0 42 50 56 84 110 116 140 216 240 246 272 300 306 314 356	-347839992540
SPT(16)	1412156357602171457	0 72 96 110 122 210 240 246 266 272 302 390 402 416 440 512	-231973105860
SPT(16)	1412156551949261231	0 2 42 72 80 92 150 222 236 308 366 378 386 416 456 458	-37626016086
STPT(10)	1412156683414233089	0 2 48 50 90 92 132 134 180 182	93838955772
SPT(16)	1412156894407916561	0 38 80 150 182 198 210 212 246 248 260 276 308 378 420 458	304832639244
STPT(10)	1412157164064088991	0 2 6 8 48 50 90 92 96 98	574488811674
SPT(16)	1412158196175325231	0 6 10 70 136 166 196 210 292 306 336 366 432 492 496 502	1606600047914
TPT(16)	1412158455597086339	0 2 30 32 60 62 72 74 132 134 162 164 282 284 288 290	1866021809022