Prime p₀= 2582096538837433159 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 10 48 20 4 18 8 4 8 18 4 20 48 10 12 (?)
a_n: 0 12 22 70 90 94 112 120 124 132 150 154 174 222 232 244
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: 244
Found by: biodoc
db: batch=82, k=16, 12 10 48 20 4 18 8 4

SPT(16)	2582095194807224507	0 20 50 116 134 144 206 234 242 270 332 342 360 426 456 476	-1344030208652
STPT(10)	2582095345798367261	0 2 30 32 78 80 126 128 156 158	-1193039065898
SPT(16)	2582095422923580491	0 6 56 90 168 210 222 270 308 356 368 410 488 522 572 578	-1115913852668
STPT(10)	2582095625282715467	0 2 72 74 102 104 132 134 204 206	-913554717692
SPT(16)	2582096049418818193	0 16 46 70 76 88 120 130 144 154 186 198 204 228 258 274	-489418614966
STPT(10)	2582096492172428027	0 2 24 26 42 44 60 62 84 86	-46665005132
SPT(16)	2582096602054583123	0 14 44 48 66 90 96 116 138 158 164 188 206 210 240 254	63217149964
STPT(10)	2582096782682725541	0 2 30 32 78 80 126 128 156 158	243845292382
SPT(16)	2582098109897141789	0 48 72 74 98 128 132 140 162 170 174 204 228 230 254 302	1571059708630
STPT(10)	2582098125034165979	0 2 42 44 90 92 138 140 180 182	1586196732820
SPT(16)	2582098913245339687	0 24 42 64 90 150 162 192 202 232 244 304 330 352 370 394	2374407906528