Prime p₀= 2113287993808606127 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 34 8 58 30 24 26 52 26 24 30 58 8 34 2 (?)
a_n: 0 2 36 44 102 132 156 182 234 260 284 314 372 380 414 416
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: 416
Found by: Paul
db: batch=80, k=16, 2 34 8 58 30 24 26 52

SPT(16)	2113286978775027941	0 6 78 90 92 96 116 138 140 162 182 186 188 200 272 278	-1015033578186
SPT(16)	2113287317947807559	0 8 12 98 110 182 192 200 252 260 270 342 354 440 444 452	-675860798568
STPT(10)	2113287319359569777	0 2 30 32 72 74 114 116 144 146	-674449036350
STPT(10)	2113287542217712037	0 2 60 62 72 74 84 86 144 146	-451590894090
STPT(10)	2113287559913239469	0 2 12 14 90 92 168 170 180 182	-433895366658
SPT(16)	2113287992361048331	0 28 36 48 72 78 112 132 136 156 190 196 220 232 240 268	-1447557796
STPT(10)	2113288047033879887	0 2 42 44 132 134 222 224 264 266	53225273760
STPT(10)	2113288382204939879	0 2 30 32 60 62 90 92 120 122	388396333752
SPT(16)	2113288386861477599	0 60 74 90 98 132 140 152 210 222 230 264 272 288 302 362	393052871472
SPT(18)	2113288610554084697	0 6 30 42 66 84 132 182 222 224 264 314 362 380 404 416 440 446	616745478570
SPT(16)	2113288673582247037	0 4 6 10 66 142 154 220 276 342 354 430 486 490 492 496	679773640910