Prime p₀= 2018068127168954669 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 76 50 28 6 20 12 172 12 20 6 28 50 76 8 (?)
a_n: 0 8 84 134 162 168 188 200 372 384 404 410 438 488 564 572
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: 572
Found by: vaughan
db: batch=80, k=16, 8 76 50 28 6 20 12 172

SPT(16)	2018067301504416703	0 28 46 48 178 198 220 270 286 336 358 378 508 510 528 556	-825664537966
SPT(16)	2018067306501305971	0 28 52 58 60 66 70 72 106 108 112 118 120 126 150 178	-820667648698
SPT(16)	2018067617422175621	0 56 66 102 126 158 180 200 288 308 330 362 386 422 432 488	-509746779048
TPT(14)	2018067898700350031	0 2 36 38 138 140 216 218 276 278 306 308 330 332	-228468604638
SPT(16)	2018067920484641693	0 38 50 56 84 108 134 150 224 240 266 290 318 324 336 374	-206684312976
SPT(16)	2018067941542509007	0 40 54 72 82 114 126 142 144 160 172 204 214 232 246 286	-185626445662
STPT(10)	2018068305059519861	0 2 30 32 78 80 126 128 156 158	177890565192
STPT(10)	2018068583987680979	0 2 18 20 30 32 42 44 60 62	456818726310
STPT(10)	2018068717213200011	0 2 6 8 48 50 90 92 96 98	590044245342
SPT(16)	2018068842312148543	0 4 78 106 108 144 196 256 288 348 400 436 438 466 540 544	715143193874
TPT(14)	2018068930002475349	0 2 18 20 42 44 60 62 192 194 198 200 312 314	802833520680