Prime p₀= 1519416953049738647 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 36 6 10 14 4 2 4 14 10 6 36 8 6 (?)
a_n: 0 6 14 50 56 66 80 84 86 90 104 114 120 156 164 170
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: 170
Found by: MarkRBright
db: batch=78, k=16, 6 8 36 6 10 14 4 2

SPT(16)	1519414184708394173	0 8 24 30 38 104 150 156 188 194 240 306 314 320 336 344	-2768341344474
STPT(10)	1519414464017947097	0 2 42 44 72 74 102 104 144 146	-2489031791550
STPT(10)	1519414496849116937	0 2 24 26 42 44 60 62 84 86	-2456200621710
STPT(10)	1519414890788448089	0 2 18 20 60 62 102 104 120 122	-2062261290558
STPT(10)	1519415456362150307	0 2 30 32 102 104 174 176 204 206	-1496687588340
SPT(16)	1519415926553605777	0 6 12 22 54 72 90 184 222 316 334 352 384 394 400 406	-1026496132870
SPT(16)	1519417252022320051	0 18 42 60 70 76 142 192 196 246 312 318 328 346 370 388	298972581404
SPT(16)	1519417261896442547	0 6 56 72 86 126 162 174 242 254 290 330 344 360 410 416	308846703900
SPT(18)	1519417415852015791	0 12 42 72 130 156 210 226 228 280 282 298 352 378 436 466 496 508	462802277144
SPT(16)	1519417678208183519	0 24 42 54 62 80 204 272 462 530 654 672 680 692 710 734	725158444872
STPT(10)	1519417965282638051	0 2 36 38 78 80 120 122 156 158	1012232899404