Prime p₀= 786156273189977213 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 24 50 4 20 60 6 40 6 60 20 4 50 24 6 (?)
a_n: 0 6 30 80 84 104 164 170 210 216 276 296 300 350 374 380
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: 380
Found by: Phoenix48
db: batch=73, k=16, 6 24 50 4 20 60 6 40

SPT(16)	786154327630515911	0 8 18 36 42 56 110 138 140 168 222 236 242 260 270 278	-1945559461302
SPT(16)	786154594429669139	0 24 30 54 68 80 98 120 212 234 252 264 278 302 308 332	-1678760308074
SPT(16)	786154716257372047	0 6 40 42 76 102 124 130 216 222 244 270 304 306 340 346	-1556932605166
SPT(16)	786154974705769811	0 48 62 80 116 128 146 198 200 252 270 282 318 336 350 398	-1298484207402
SPT(16)	786155845803220363	0 4 58 126 148 184 198 240 274 316 330 366 388 456 510 514	-427386756850
SPT(16)	786156037553843717	0 12 26 92 104 146 186 210 236 260 300 342 354 420 434 446	-235636133496
SPT(16)	786156839684673073	0 78 84 108 148 198 210 238 270 298 310 360 400 424 430 508	566494695860
SPT(16)	786156927322316647	0 16 84 94 130 144 220 240 256 276 352 366 402 412 480 496	654132339434
SPT(16)	786156949981286297	0 50 86 122 152 176 182 206 240 264 270 294 324 360 396 446	676791309084
STPT(10)	786156983105167547	0 2 30 32 42 44 54 56 84 86	709915190334
SPT(16)	786157482153544819	0 22 28 40 52 168 180 192 250 262 274 390 402 414 420 442	1208963567606