Prime p₀= 750683128568590951 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 44 58 8 84 6 24 28 24 6 84 8 58 44 16 (?)
a_n: 0 16 60 118 126 210 216 240 268 292 298 382 390 448 492 508
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: 508
Found by: GLeeM
db: batch=73, k=16, 16 44 58 8 84 6 24 28

SPT(16)	750681322120899307	0 40 42 112 120 166 172 186 190 204 210 256 264 334 336 376	-1806447691644
STPT(10)	750681524816189579	0 2 18 20 30 32 42 44 60 62	-1603752401372
STPT(10)	750682344370933061	0 2 6 8 48 50 90 92 96 98	-784197657890
STPT(10)	750682551070050197	0 2 30 32 42 44 54 56 84 86	-577498540754
STPT(10)	750682595094912437	0 2 12 14 42 44 72 74 84 86	-533473678514
STPT(10)	750682925619979967	0 2 24 26 42 44 60 62 84 86	-202948610984
STPT(10)	750683190386312201	0 2 30 32 168 170 306 308 336 338	61817721250
STPT(10)	750683259875287547	0 2 12 14 42 44 72 74 84 86	131306696596
STPT(10)	750683307668972747	0 2 24 26 42 44 60 62 84 86	179100381796
STPT(10)	750683424952883087	0 2 12 14 42 44 72 74 84 86	296384292136
TPT(14)	750683523382635767	0 2 12 14 72 74 114 116 210 212 222 224 372 374	394814044816