Prime p₀= 2343322311515579029 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 18 28 14 36 4 8 22 8 4 36 14 28 18 42 (?)
a_n: 0 42 60 88 102 138 142 150 172 180 184 220 234 262 280 322
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: 322
Found by: Landjunge
db: batch=81, k=16, 42 18 28 14 36 4 8 22

SPT(16)	2343321300418717051	0 12 30 82 112 130 156 160 192 196 222 240 270 322 340 352	-1011096861978
SPT(16)	2343321549778115947	0 34 40 46 52 60 66 112 144 190 196 204 210 216 222 256	-761737463082
STPT(10)	2343321664923665519	0 2 18 20 30 32 42 44 60 62	-646591913510
STPT(10)	2343321667643515589	0 2 30 32 60 62 90 92 120 122	-643872063440
STPT(10)	2343321790186521899	0 2 18 20 30 32 42 44 60 62	-521329057130
STPT(10)	2343322184826127319	0 2 12 14 90 92 168 170 180 182	-126689451710
SPT(16)	2343322370294279921	0 18 30 68 110 120 128 138 182 192 200 210 252 290 302 320	58778700892
SPT(16)	2343322519244953579	0 34 42 54 84 112 120 154 258 292 300 328 358 370 378 412	207729374550
STPT(10)	2343322566325445387	0 2 42 44 72 74 102 104 144 146	254809866358
TPT(14)	2343323067226851881	0 2 66 68 78 80 90 92 96 98 150 152 216 218	755711272852
SPT(16)	2343323221076326429	0 10 22 30 40 100 114 120 154 160 174 234 244 252 264 274	909560747400