Prime p₀= 2509105653801412829 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 24 2 48 36 16 66 32 66 16 36 48 2 24 18 (?)
a_n: 0 18 42 44 92 128 144 210 242 308 324 360 408 410 434 452
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: 452
Found by: JayPi
db: batch=82, k=16, 18 24 2 48 36 16 66 32

SPT(16)	2509104165022000921	0 36 78 102 138 148 156 160 168 172 180 190 226 250 292 328	-1488779411908
STPT(10)	2509104210886954799	0 2 18 20 30 32 42 44 60 62	-1442914458030
STPT(10)	2509104415717479491	0 2 6 8 18 20 30 32 36 38	-1238083933338
SPT(16)	2509104839168198069	0 24 30 120 122 140 144 152 252 260 264 282 284 374 380 404	-814633214760
SPT(16)	2509104876109538831	0 56 60 62 92 122 152 158 210 216 246 276 306 308 312 368	-777691873998
STPT(10)	2509105599069418379	0 2 18 20 30 32 42 44 60 62	-54731994450
SPT(16)	2509105807802635081	0 28 66 76 108 112 186 216 232 262 336 340 372 382 420 448	154001222252
SPT(16)	2509105870516539521	0 6 8 30 36 68 140 146 162 168 240 272 278 300 302 308	216715126692
STPT(10)	2509106187067726847	0 2 30 32 42 44 54 56 84 86	533266314018
SPT(16)	2509106310571923679	0 22 40 42 112 114 148 162 190 204 238 240 310 312 330 352	656770510850
SPT(16)	2509106350760197549	0 18 28 40 58 60 82 102 238 258 280 282 300 312 322 340	696958784720