Prime p₀= 2343322370294279921 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 12 38 42 10 8 10 44 10 8 10 42 38 12 18 (?)
a_n: 0 18 30 68 110 120 128 138 182 192 200 210 252 290 302 320
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: 320
Found by: Landjunge
db: batch=81, k=16, 18 12 38 42 10 8 10 44

SPT(16)	2343321549778115947	0 34 40 46 52 60 66 112 144 190 196 204 210 216 222 256	-820516163974
STPT(10)	2343321664923665519	0 2 18 20 30 32 42 44 60 62	-705370614402
STPT(10)	2343321667643515589	0 2 30 32 60 62 90 92 120 122	-702650764332
STPT(10)	2343321790186521899	0 2 18 20 30 32 42 44 60 62	-580107758022
STPT(10)	2343322184826127319	0 2 12 14 90 92 168 170 180 182	-185468152602
SPT(16)	2343322311515579029	0 42 60 88 102 138 142 150 172 180 184 220 234 262 280 322	-58778700892
SPT(16)	2343322519244953579	0 34 42 54 84 112 120 154 258 292 300 328 358 370 378 412	148950673658
STPT(10)	2343322566325445387	0 2 42 44 72 74 102 104 144 146	196031165466
TPT(14)	2343323067226851881	0 2 66 68 78 80 90 92 96 98 150 152 216 218	696932571960
SPT(16)	2343323221076326429	0 10 22 30 40 100 114 120 154 160 174 234 244 252 264 274	850782046508
SPT(16)	2343323272371654137	0 6 26 32 54 60 74 96 110 132 146 152 174 180 200 206	902077374216