Prime p₀= 1409700961404948001 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 42 66 4 20 90 12 34 12 90 20 4 66 42 18 (?)
a_n: 0 18 60 126 130 150 240 252 286 298 388 408 412 478 520 538
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: 538
Found by: vinn@[CNT]
db: batch=78, k=16, 18 42 66 4 20 90 12 34

SPT(18)	1409698624352044459	0 30 34 94 144 174 208 244 250 312 318 354 388 418 468 528 532 562	-2337052903542
SPT(16)	1409698692635597431	0 28 36 48 72 90 118 156 172 210 238 256 280 292 300 328	-2268769350570
SPT(16)	1409699213434954051	0 70 106 120 130 178 180 190 228 238 240 288 298 312 348 418	-1747969993950
STPT(10)	1409699706896942957	0 2 60 62 72 74 84 86 144 146	-1254508005044
SPT(16)	1409700531690789419	0 14 42 48 104 110 188 228 254 294 372 378 434 440 468 482	-429714158582
SPT(16)	1409700911344209151	0 10 12 22 52 120 132 148 180 196 208 276 306 316 318 328	-50060738850
STPT(10)	1409700974104010849	0 2 18 20 30 32 42 44 60 62	12699062848
SPT(16)	1409701481773340047	0 6 34 36 42 52 76 94 102 120 144 154 160 162 190 196	520368392046
STPT(10)	1409702213128411427	0 2 30 32 42 44 54 56 84 86	1251723463426
STPT(10)	1409702493321350321	0 2 36 38 78 80 120 122 156 158	1531916402320
SPT(16)	1409702767245158261	0 32 68 98 110 140 168 206 222 260 288 318 330 360 396 428	1805840210260