Prime p₀= 2016098463258929531 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 12 68 24 16 20 112 50 112 20 16 24 68 12 18 (?)
a_n: 0 18 30 98 122 138 158 270 320 432 452 468 492 560 572 590
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: 590
Found by: Dingo
db: batch=80, k=16, 18 12 68 24 16 20 112 50

SPT(16)	2016098093930107679	0 18 38 120 122 140 170 228 272 330 360 378 380 462 482 500	-369328821852
STPT(10)	2016098151352575089	0 2 48 50 60 62 72 74 120 122	-311906354442
SPT(16)	2016098203344078361	0 30 40 58 76 100 106 112 126 132 138 162 180 198 208 238	-259914851170
SPT(16)	2016098262579517313	0 30 66 96 134 158 170 186 218 234 246 270 308 338 374 404	-200679412218
SPT(16)	2016098318955796711	0 6 16 30 126 168 198 208 210 220 250 292 388 402 412 418	-144303132820
SPT(16)	2016098383491360499	0 18 22 52 78 90 114 118 144 148 172 184 210 240 244 262	-79767569032
SPT(16)	2016098522523537511	0 10 16 76 112 120 132 210 232 310 322 330 366 426 432 442	59264607980
STPT(10)	2016098531109075221	0 2 6 8 48 50 90 92 96 98	67850145690
STPT(10)	2016098560627354937	0 2 30 32 42 44 54 56 84 86	97368425406
STPT(10)	2016098719338114947	0 2 30 32 42 44 54 56 84 86	256079185416
STPT(10)	2016098810718042101	0 2 6 8 18 20 30 32 36 38	347459112570