Prime p₀= 1233867018863363407 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 28 50 18 52 20 28 20 52 18 50 28 2 4 (?)
a_n: 0 4 6 34 84 102 154 174 202 222 274 292 342 370 372 376
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: 376
Found by: Megacruncher
db: batch=77, k=16, 4 2 28 50 18 52 20 28

SPT(16)	1233866379090604513	0 48 106 118 184 226 228 238 246 256 258 300 366 378 436 484	-639772758894
STPT(10)	1233866576674171409	0 2 48 50 90 92 132 134 180 182	-442189191998
SPT(16)	1233866639855681731	0 28 60 78 120 196 246 258 268 280 330 406 448 466 498 526	-379007681676
TPT(14)	1233866652711008759	0 2 18 20 60 62 240 242 252 254 282 284 300 302	-366152354648
SPT(16)	1233866685652624451	0 18 26 72 80 96 150 152 156 158 212 228 236 282 290 308	-333210738956
STPT(10)	1233866828612786651	0 2 6 8 48 50 90 92 96 98	-190250576756
TPT(14)	1233867035216176157	0 2 30 32 42 44 192 194 234 236 252 254 264 266	16352812750
TPT(14)	1233867072315431249	0 2 78 80 90 92 150 152 168 170 180 182 222 224	53452067842
SPT(16)	1233867179726097211	0 12 36 58 78 96 100 166 252 318 322 340 360 382 406 418	160862733804
STPT(10)	1233867358862221841	0 2 6 8 18 20 30 32 36 38	339998858434
STPT(10)	1233867383735792327	0 2 30 32 42 44 54 56 84 86	364872428920