Prime p₀= 2105841738300713527 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 30 38 28 14 6 22 6 14 28 38 30 12 34 (?)
a_n: 0 34 46 76 114 142 156 162 184 190 204 232 270 300 312 346
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: 346
Found by: Landjunge
db: batch=80, k=16, 34 12 30 38 28 14 6 22

TPT(14)	2105840241627794489	0 2 102 104 138 140 198 200 240 242 312 314 360 362	-1496672919038
SPT(16)	2105840307411031649	0 20 30 84 90 110 122 168 194 240 252 272 278 332 342 362	-1430889681878
SPT(16)	2105840660679460571	0 38 126 152 158 168 188 248 300 360 380 390 396 422 510 548	-1077621252956
SPT(16)	2105840984843696021	0 18 20 38 108 126 150 162 206 218 242 260 330 348 350 368	-753457017506
STPT(10)	2105841407761856069	0 2 48 50 90 92 132 134 180 182	-330538857458
STPT(10)	2105841622403115869	0 2 18 20 30 32 42 44 60 62	-115897597658
SPT(16)	2105841872384884507	0 16 34 42 66 96 126 136 240 250 280 310 334 342 360 376	134084170980
SPT(16)	2105841892470086873	0 26 50 56 90 126 168 170 186 188 230 266 300 306 330 356	154169373346
STPT(12)	2105841985898412449	0 2 42 44 48 50 72 74 78 80 120 122	247597698922
STPT(10)	2105842130841115349	0 2 12 14 90 92 168 170 180 182	392540401822
SPT(16)	2105842257287634409	0 4 64 78 88 102 148 154 168 174 220 234 244 258 318 322	518986920882