Prime p₀= 2112892843317915691 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 120 6 6 22 56 22 32 22 56 22 6 6 120 6 (?)
a_n: 0 6 126 132 138 160 216 238 270 292 348 370 376 382 502 508
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: 508
Found by: Landjunge
db: batch=80, k=16, 6 120 6 6 22 56 22 32

SPT(16)	2112891027646299787	0 34 42 46 96 102 106 124 132 150 154 160 210 214 222 256	-1815671615904
STPT(10)	2112891055602877577	0 2 24 26 42 44 60 62 84 86	-1787715038114
SPT(16)	2112891371249895169	0 10 24 48 64 90 114 118 150 154 178 204 220 244 258 268	-1472068020522
SPT(16)	2112891771953057077	0 22 52 54 64 112 154 180 274 300 342 390 400 402 432 454	-1071364858614
SPT(16)	2112891901199651119	0 22 42 60 78 88 94 114 148 168 174 184 202 220 240 262	-942118264572
STPT(12)	2112892417034894849	0 2 12 14 30 32 72 74 90 92 102 104	-426283020842
SPT(16)	2112892982630412091	0 36 72 106 126 130 142 160 168 186 198 202 222 256 292 328	139312496400
STPT(10)	2112893171855947079	0 2 18 20 30 32 42 44 60 62	328538031388
STPT(12)	2112893485208020817	0 2 30 32 54 56 210 212 234 236 264 266	641890105126
SPT(16)	2112893578425420767	0 20 26 72 84 114 140 144 182 186 212 242 254 300 306 326	735107505076
SPT(16)	2112893714818942999	0 28 30 40 54 58 142 150 172 180 264 268 282 292 294 322	871501027308