Prime p₀= 2949919495112076467 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 10 14 30 24 70 20 22 20 70 24 30 14 10 56 (?)
a_n: 0 56 66 80 110 134 204 224 246 266 336 360 390 404 414 470
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: 470
Found by: gemini8
db: batch=82, k=16, 56 10 14 30 24 70 20 22

SPT(16)	2949917690321385977	0 12 44 50 86 152 156 176 180 200 204 270 306 312 344 356	-1804790690490
STPT(10)	2949918113613237797	0 2 30 32 60 62 90 92 120 122	-1381498838670
SPT(16)	2949918418227986011	0 46 48 66 120 136 148 190 198 240 252 268 322 340 342 388	-1076884090456
SPT(16)	2949918418298305723	0 10 24 40 120 156 180 210 274 304 328 364 444 460 474 484	-1076813770744
STPT(10)	2949919048409646749	0 2 42 44 60 62 78 80 120 122	-446702429718
TPT(16)	2949919340762705159	0 2 30 32 60 62 132 134 162 164 198 200 270 272 288 290	-154349371308
SPT(16)	2949920055069720107	0 26 60 90 114 116 254 266 270 282 420 422 446 476 510 536	559957643640
STPT(12)	2949920425247376377	0 2 12 14 24 26 30 32 42 44 54 56	930135299910
STPT(10)	2949920658237539669	0 2 42 44 90 92 138 140 180 182	1163125463202
SPT(16)	2949920669440906123	0 28 46 58 124 130 156 184 240 268 294 300 366 378 396 424	1174328829656
STPT(10)	2949921094168300919	0 2 42 44 60 62 78 80 120 122	1599056224452