Prime p₀= 2114992314998013029 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 10 20 4 18 20 4 74 4 20 18 4 20 10 68 (?)
a_n: 0 68 78 98 102 120 140 144 218 222 242 260 264 284 294 362
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: 362
Found by: Landjunge
db: batch=80, k=16, 68 10 20 4 18 20 4 74

SPT(16)	2114991528005080261	0 10 18 66 108 148 166 172 186 192 210 250 292 340 348 358	-786992932768
SPT(16)	2114991884484672121	0 22 36 42 48 76 112 126 172 186 222 250 256 262 276 298	-430513340908
STPT(10)	2114992000007686601	0 2 6 8 48 50 90 92 96 98	-314990326428
SPT(16)	2114992060753750349	0 12 54 90 110 114 132 140 204 212 230 234 254 290 332 344	-254244262680
SPT(16)	2114992097445588997	0 6 42 76 82 136 216 276 520 580 660 714 720 754 790 796	-217552424032
SPT(16)	2114992246906738627	0 54 64 120 124 136 156 184 192 220 240 252 256 312 322 376	-68091274402
STPT(10)	2114992331688202427	0 2 24 26 42 44 60 62 84 86	16690189398
STPT(10)	2114992403622230549	0 2 18 20 30 32 42 44 60 62	88624217520
STPT(10)	2114992584182876777	0 2 30 32 42 44 54 56 84 86	269184863748
SPT(16)	2114992652205385559	0 24 50 54 78 122 144 182 270 308 330 374 398 402 428 452	337207372530
STPT(10)	2114992982378765507	0 2 42 44 72 74 102 104 144 146	667380752478