Prime p₀= 2113287992361048331 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 8 12 24 6 34 20 4 20 34 6 24 12 8 28 (?)
a_n: 0 28 36 48 72 78 112 132 136 156 190 196 220 232 240 268
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: 268
Found by: Paul
db: batch=80, k=16, 28 8 12 24 6 34 20 4

SPT(16)	2113286691085709719	0 12 24 54 90 112 150 160 192 202 240 262 298 328 340 352	-1301275338612
SPT(16)	2113286978775027941	0 6 78 90 92 96 116 138 140 162 182 186 188 200 272 278	-1013586020390
SPT(16)	2113287317947807559	0 8 12 98 110 182 192 200 252 260 270 342 354 440 444 452	-674413240772
STPT(10)	2113287319359569777	0 2 30 32 72 74 114 116 144 146	-673001478554
STPT(10)	2113287542217712037	0 2 60 62 72 74 84 86 144 146	-450143336294
STPT(10)	2113287559913239469	0 2 12 14 90 92 168 170 180 182	-432447808862
SPT(16)	2113287993808606127	0 2 36 44 102 132 156 182 234 260 284 314 372 380 414 416	1447557796
STPT(10)	2113288047033879887	0 2 42 44 132 134 222 224 264 266	54672831556
STPT(10)	2113288382204939879	0 2 30 32 60 62 90 92 120 122	389843891548
SPT(16)	2113288386861477599	0 60 74 90 98 132 140 152 210 222 230 264 272 288 302 362	394500429268
SPT(18)	2113288610554084697	0 6 30 42 66 84 132 182 222 224 264 314 362 380 404 416 440 446	618193036366