Prime p₀= 2509139788211477731 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 30 8 16 2 24 16 2 16 24 2 16 8 30 22 (?)
a_n: 0 22 52 60 76 78 102 118 120 136 160 162 178 186 216 238
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: 238
Found by: Penguin
db: batch=82, k=16, 22 30 8 16 2 24 16 2

SPT(16)	2509138297908875029	0 22 34 52 60 118 130 148 174 192 204 262 270 288 300 322	-1490302602702
STPT(10)	2509138687250985479	0 2 18 20 30 32 42 44 60 62	-1100960492252
STPT(10)	2509139038043341349	0 2 48 50 60 62 72 74 120 122	-750168136382
SPT(16)	2509139066746384973	0 8 36 50 96 108 134 140 174 180 206 218 264 278 306 314	-721465092758
SPT(16)	2509139256079047763	0 6 10 28 54 70 84 90 364 370 384 400 426 444 448 454	-532132429968
SPT(16)	2509139698817613769	0 34 40 52 70 84 90 162 220 292 298 312 330 342 348 382	-89393863962
STPT(10)	2509140034933767407	0 2 30 32 42 44 54 56 84 86	246722289676
STPT(10)	2509140097805208149	0 2 18 20 60 62 102 104 120 122	309593730418
SPT(16)	2509140771635896289	0 42 50 90 132 152 182 218 222 258 288 308 350 390 398 440	983424418558
TPT(14)	2509140854002092461	0 2 30 32 60 62 126 128 216 218 228 230 240 242	1065790614730
TPT(14)	2509141378962364439	0 2 12 14 18 20 138 140 150 152 210 212 228 230	1590750886708