Prime p₀= 2560092032863593497 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 12 48 6 30 6 74 6 30 6 48 12 30 24 (?)
a_n: 0 24 54 66 114 120 150 156 230 236 266 272 320 332 362 386
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: 386
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 24 30 12 48 6 30 6 74

SPT(16)	2560090362910026481	0 72 96 106 118 150 166 168 190 192 208 240 252 262 286 358	-1669953567016
TPT(14)	2560090910841884051	0 2 30 32 36 38 60 62 78 80 186 188 216 218	-1122021709446
SPT(22)	2560091099767774043	0 8 14 48 84 188 204 260 276 284 290 294 300 308 324 380 396 500 536 570 576 584	-933095819454
SPT(16)	2560091334117432109	0 10 42 60 78 120 142 150 190 198 220 262 280 298 330 340	-698746161388
STPT(10)	2560091731260898517	0 2 42 44 72 74 102 104 144 146	-301602694980
STPT(10)	2560091752959190139	0 2 18 20 30 32 42 44 60 62	-279904403358
SPT(16)	2560092128664498299	0 48 50 92 98 132 158 180 260 282 308 342 348 390 392 440	95800904802
STPT(10)	2560092174920850221	0 2 36 38 78 80 120 122 156 158	142057256724
STPT(10)	2560092487680478571	0 2 6 8 18 20 30 32 36 38	454816885074
STPT(10)	2560092501932322587	0 2 24 26 42 44 60 62 84 86	469068729090
SPT(16)	2560092920353110403	0 16 18 46 114 156 184 186 238 240 268 310 378 406 408 424	887489516906