Prime p₀= 3161114346545309003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 18 14 10 20 36 22 62 22 36 20 10 14 18 6 (?)
a_n: 0 6 24 38 48 68 104 126 188 210 246 266 276 290 308 314
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: 314
Found by: ladmo
db: batch=83, k=16, 6 18 14 10 20 36 22 62

STPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-1842863687706
TPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-1842863687706
TPT(14)	3161112993096836801	0 2 18 20 36 38 60 62 78 80 90 92 126 128	-1353448472202
SPT(16)	3161114158095800903	0 66 78 80 98 156 168 206 210 248 260 318 336 338 350 416	-188449508100
SPT(16)	3161114292288836743	0 60 156 226 270 280 286 298 348 360 366 376 420 490 586 646	-54256472260
SPT(16)	3161114325725702699	0 8 42 68 84 90 110 134 168 192 212 218 234 260 294 302	-20819606304
SPT(16)	3161114778243590869	0 22 30 52 72 78 88 120 172 204 214 220 240 262 270 292	431698281866
SPT(16)	3161114898734418503	0 20 48 126 138 140 180 230 246 296 336 338 350 428 456 476	552189109500
STPT(10)	3161114956505884877	0 2 30 32 72 74 114 116 144 146	609960575874
STPT(10)	3161115322445788889	0 2 18 20 30 32 42 44 60 62	975900479886
TPT(14)	3161115506159571977	0 2 120 122 132 134 144 146 174 176 210 212 282 284	1159614262974