Prime p₀= 2710921292821826153 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 14 6 64 26 34 96 24 6 50 6 24 96 34 26 64 6 14 (?)
a_n: 0 14 20 84 110 144 240 264 270 320 326 350 446 480 506 570 576 590
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 590
Found by: Orange Kid
db: batch=82, k=18, 14 6 64 26 34 96 24 6 50

SPT(16)	2710920169132671409	0 70 82 84 124 138 144 168 214 238 244 258 298 300 312 382	-1123689154744
TPT(14)	2710920198037508969	0 2 30 32 42 44 180 182 198 200 360 362 378 380	-1094784317184
STPT(10)	2710920366374114561	0 2 6 8 18 20 30 32 36 38	-926447711592
SPT(16)	2710920388675686703	0 6 28 46 88 90 174 190 234 250 334 336 378 396 418 424	-904146139450
SPT(16)	2710920633061955173	0 10 18 60 66 88 94 156 208 270 276 298 304 346 354 364	-659759870980
STPT(10)	2710920660413353637	0 2 12 14 72 74 132 134 144 146	-632408472516
STPT(10)	2710921709614440401	0 2 30 32 78 80 126 128 156 158	416792614248
SPT(18)	2710921790167366289	0 92 108 128 132 152 180 222 254 258 290 332 360 380 384 404 420 512	497345540136
STPT(10)	2710921790313238937	0 2 30 32 42 44 54 56 84 86	497491412784
SPT(16)	2710921792141718657	0 32 42 54 62 90 116 134 192 210 236 264 272 284 294 326	499319892504
TPT(14)	2710922033840620889	0 2 78 80 90 92 168 170 258 260 300 302 312 314	741018794736