Prime p₀= 2082373013301267629 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 44 22 2 6 22 14 4 14 22 6 2 22 44 24 (?)
a_n: 0 24 68 90 92 98 120 134 138 152 174 180 182 204 248 272
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: 272
Found by: arkiss
db: batch=80, k=16, 24 44 22 2 6 22 14 4

SPT(16)	2082372052642084921	0 12 18 42 60 82 112 126 172 186 216 238 256 280 286 298	-960659182708
STPT(10)	2082372086304916961	0 2 36 38 78 80 120 122 156 158	-926996350668
SPT(16)	2082372276632519869	0 12 28 54 72 88 154 180 232 258 324 340 358 384 400 412	-736668747760
STPT(10)	2082372597465768911	0 2 30 32 120 122 210 212 240 242	-415835498718
SPT(16)	2082372637293791567	0 26 30 50 90 92 152 156 200 204 264 266 306 326 330 356	-376007476062
STPT(10)	2082372973573976297	0 2 30 32 42 44 54 56 84 86	-39727291332
STPT(10)	2082373023848927231	0 2 36 38 168 170 300 302 336 338	10547659602
TPT(14)	2082373145267045417	0 2 24 26 54 56 120 122 150 152 174 176 180 182	131965777788
STPT(12)	2082373145267045417	0 2 24 26 54 56 120 122 150 152 174 176	131965777788
SPT(16)	2082373569652792777	0 30 36 84 124 160 162 190 306 334 336 372 412 460 466 496	556351525148
SPT(16)	2082373660834409617	0 6 22 34 54 204 232 246 280 294 322 472 492 504 520 526	647533141988