Prime p₀= 2126388399375694457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 22 6 48 12 38 12 22 12 38 12 48 6 22 44 (?)
a_n: 0 44 66 72 120 132 170 182 204 216 254 266 314 320 342 386
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: 386
Found by: Coleslaw
db: batch=80, k=16, 44 22 6 48 12 38 12 22

SPT(16)	2126387571390667163	0 74 78 144 164 186 200 206 288 294 308 330 350 416 420 494	-827985027294
STPT(10)	2126387899980845321	0 2 6 8 18 20 30 32 36 38	-499394849136
STPT(10)	2126388016795323287	0 2 30 32 42 44 54 56 84 86	-382580371170
STPT(10)	2126388060203653031	0 2 36 38 78 80 120 122 156 158	-339172041426
SPT(16)	2126388141379138801	0 10 48 76 108 150 156 190 246 280 286 328 360 388 426 436	-257996555656
SPT(16)	2126388317532894529	0 4 48 102 114 118 142 168 244 270 294 298 310 364 408 412	-81842799928
SPT(16)	2126388470444140787	0 66 80 86 96 110 162 170 216 224 276 290 300 306 320 386	71068446330
SPT(16)	2126388819844464629	0 62 108 138 168 188 252 258 374 380 444 464 494 524 570 632	420468770172
STPT(10)	2126388922312889777	0 2 90 92 132 134 174 176 264 266	522937195320
STPT(10)	2126388946613266799	0 2 48 50 60 62 72 74 120 122	547237572342
STPT(10)	2126389216021975517	0 2 30 32 42 44 54 56 84 86	816646281060