Prime p₀= 2565867676250453507 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 2 24 76 42 30 2 4 2 30 42 76 24 2 30 (?)
a_n: 0 30 32 56 132 174 204 206 210 212 242 284 360 384 386 416
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: 416
Found by: JayPi
db: batch=82, k=16, 30 2 24 76 42 30 2 4

SPT(16)	2565866512205509627	0 4 10 66 102 112 114 126 130 142 144 154 190 246 252 256	-1164044943880
SPT(16)	2565866714180733329	0 14 42 48 60 72 84 98 204 218 230 242 254 260 288 302	-962069720178
SPT(16)	2565866770938181141	0 16 90 132 142 186 208 238 300 330 352 396 406 448 522 538	-905312272366
STPT(10)	2565866990128315121	0 2 66 68 108 110 150 152 216 218	-686122138386
STPT(10)	2565867292944914207	0 2 12 14 72 74 132 134 144 146	-383305539300
SPT(16)	2565867361980468191	0 2 6 20 50 60 78 116 132 170 188 198 228 242 246 248	-314269985316
STPT(10)	2565867838829540801	0 2 78 80 108 110 138 140 216 218	162579087294
STPT(10)	2565868177819978859	0 2 42 44 60 62 78 80 120 122	501569525352
STPT(10)	2565868186526161409	0 2 12 14 90 92 168 170 180 182	510275707902
STPT(10)	2565868210027121141	0 2 6 8 18 20 30 32 36 38	533776667634
SPT(16)	2565868718193866207	0 30 36 66 80 146 180 194 276 290 324 390 404 434 440 470	1041943412700