Prime p₀= 2509139256079047763 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 4 18 26 16 14 6 274 6 14 16 26 18 4 6 (?)
a_n: 0 6 10 28 54 70 84 90 364 370 384 400 426 444 448 454
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: 454
Found by: Penguin
db: batch=82, k=16, 6 4 18 26 16 14 6 274

SPT(16)	2509137809797009291	0 52 70 88 96 150 160 172 216 228 238 292 300 318 336 388	-1446282038472
STPT(10)	2509138084452616889	0 2 18 20 30 32 42 44 60 62	-1171626430874
SPT(16)	2509138297908875029	0 22 34 52 60 118 130 148 174 192 204 262 270 288 300 322	-958170172734
STPT(10)	2509138687250985479	0 2 18 20 30 32 42 44 60 62	-568828062284
STPT(10)	2509139038043341349	0 2 48 50 60 62 72 74 120 122	-218035706414
SPT(16)	2509139066746384973	0 8 36 50 96 108 134 140 174 180 206 218 264 278 306 314	-189332662790
SPT(16)	2509139698817613769	0 34 40 52 70 84 90 162 220 292 298 312 330 342 348 382	442738566006
SPT(16)	2509139788211477731	0 22 52 60 76 78 102 118 120 136 160 162 178 186 216 238	532132429968
STPT(10)	2509140034933767407	0 2 30 32 42 44 54 56 84 86	778854719644
STPT(10)	2509140097805208149	0 2 18 20 60 62 102 104 120 122	841726160386
SPT(16)	2509140771635896289	0 42 50 90 132 152 182 218 222 258 288 308 350 390 398 440	1515556848526