Prime p₀= 1267868418106461623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 12 4 20 6 30 40 62 40 30 6 20 4 12 14 (?)
a_n: 0 14 26 30 50 56 86 126 188 228 258 264 284 288 300 314
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: Megacruncher
db: batch=77, k=16, 14 12 4 20 6 30 40 62

SPT(16)	1267866346943656489	0 18 40 60 64 82 130 142 150 162 210 228 232 252 274 292	-2071162805134
STPT(10)	1267866454471047791	0 2 6 8 48 50 90 92 96 98	-1963635413832
SPT(16)	1267867178847848087	0 26 32 80 92 116 126 150 152 176 186 210 222 270 276 302	-1239258613536
STPT(10)	1267867865322208697	0 2 30 32 42 44 54 56 84 86	-552784252926
SPT(16)	1267867897574600411	0 18 38 42 50 66 92 102 116 126 152 168 176 180 200 218	-520531861212
STPT(10)	1267868266224764777	0 2 42 44 72 74 102 104 144 146	-151881696846
STPT(10)	1267868504825423771	0 2 6 8 48 50 90 92 96 98	86718962148
STPT(10)	1267869227165459297	0 2 30 32 42 44 54 56 84 86	809058997674
SPT(16)	1267869369211575191	0 20 42 66 78 98 132 140 168 176 210 230 242 266 288 308	951105113568
STPT(10)	1267869434650425701	0 2 6 8 48 50 90 92 96 98	1016543964078
STPT(10)	1267869739317941531	0 2 30 32 78 80 126 128 156 158	1321211479908