Prime p₀= 1120896726836587537 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 42 14 108 10 12 44 12 10 108 14 42 36 4 (?)
a_n: 0 4 40 82 96 204 214 226 270 282 292 400 414 456 492 496
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: 496
Found by: vinn@[CNT]
db: batch=76, k=16, 4 36 42 14 108 10 12 44

SPT(16)	1120895613461329627	0 64 76 102 126 174 186 220 246 280 292 340 364 390 402 466	-1113375257910
STPT(10)	1120896099472917707	0 2 30 32 60 62 90 92 120 122	-627363669830
SPT(16)	1120896133759718893	0 40 54 64 76 124 154 168 196 210 240 288 300 310 324 364	-593076868644
SPT(16)	1120896228043667069	0 42 68 74 78 98 128 150 212 234 264 284 288 294 320 362	-498792920468
STPT(10)	1120896279119164517	0 2 54 56 72 74 90 92 144 146	-447717423020
STPT(10)	1120896588468844511	0 2 30 32 78 80 126 128 156 158	-138367743026
SPT(16)	1120896981277491623	0 44 84 90 134 140 144 174 254 284 288 294 338 344 384 428	254440904086
STPT(10)	1120897129959032771	0 2 36 38 78 80 120 122 156 158	403122445234
STPT(10)	1120897274770295147	0 2 30 32 72 74 114 116 144 146	547933707610
SPT(16)	1120897728778495571	0 8 50 92 96 122 138 198 260 320 336 362 366 408 450 458	1001941908034
SPT(16)	1120897873860949169	0 12 18 20 44 60 74 102 110 138 152 168 192 194 200 212	1147024361632