Prime p₀= 2353808342665528457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 12 30 20 6 40 102 38 102 40 6 20 30 12 24 (?)
a_n: 0 24 36 66 86 92 132 234 272 374 414 420 440 470 482 506
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: 506
Found by: MarkRBright
db: batch=81, k=16, 24 12 30 20 6 40 102 38

STPT(12)	2353805940159462947	0 2 12 14 54 56 90 92 132 134 144 146	-2402506065510
STPT(10)	2353806479268026927	0 2 42 44 72 74 102 104 144 146	-1863397501530
STPT(10)	2353806748214918387	0 2 30 32 42 44 54 56 84 86	-1594450610070
STPT(10)	2353806923428271807	0 2 60 62 72 74 84 86 144 146	-1419237256650
TPT(14)	2353807975750509737	0 2 42 44 54 56 60 62 114 116 174 176 180 182	-366915018720
STPT(10)	2353808123196866459	0 2 12 14 30 32 48 50 60 62	-219468661998
STPT(10)	2353808821452851207	0 2 30 32 42 44 54 56 84 86	478787322750
SPT(16)	2353808879735603687	0 20 42 74 96 126 146 152 294 300 320 350 372 404 426 446	537070075230
SPT(16)	2353809162660464059	0 22 24 42 88 94 102 160 162 220 228 234 280 298 300 322	819994935602
SPT(16)	2353809391870017713	0 48 90 98 120 140 146 158 216 228 234 254 276 284 326 374	1049204489256
SPT(16)	2353810539709748891	0 30 36 38 72 80 90 128 210 248 258 266 300 302 308 338	2197044220434