Prime p₀= 2585331309227381569 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 4 26 16 8 22 8 22 8 16 26 4 20 4 (?)
a_n: 0 4 24 28 54 70 78 100 108 130 138 154 180 184 204 208
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: 208
Found by: JayPi
db: batch=82, k=16, 4 20 4 26 16 8 22 8

SPT(16)	2585329721302845911	0 6 20 32 38 72 108 120 128 140 176 210 216 228 242 248	-1587924535658
STPT(10)	2585329889479284317	0 2 30 32 42 44 54 56 84 86	-1419748097252
STPT(10)	2585330234707904639	0 2 48 50 90 92 132 134 180 182	-1074519476930
SPT(16)	2585330500486951949	0 42 68 78 90 92 110 120 242 252 270 272 284 294 320 362	-808740429620
SPT(16)	2585330978235223639	0 4 40 58 70 114 120 142 150 172 178 222 234 252 288 292	-330992157930
STPT(10)	2585331257470064357	0 2 42 44 72 74 102 104 144 146	-51757317212
STPT(10)	2585331547436110127	0 2 12 14 72 74 132 134 144 146	238208728558
STPT(10)	2585331585600678329	0 2 18 20 30 32 42 44 60 62	276373296760
SPT(16)	2585331858447698501	0 30 36 42 66 78 86 108 140 162 170 182 206 212 218 248	549220316932
SPT(16)	2585332076697604099	0 4 12 24 34 40 42 108 154 220 222 228 238 250 258 262	767470222530
STPT(12)	2585332517681103689	0 2 30 32 42 44 78 80 90 92 120 122	1208453722120