Prime p₀= 1289363558819400343 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 24 10 126 14 66 30 48 10 8 10 48 30 66 14 126 10 24 (?)
a_n: 0 24 34 160 174 240 270 318 328 336 346 394 424 490 504 630 640 664
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: 664
Found by: Cruncher Pete
db: batch=77, k=18, 24 10 126 14 66 30 48 10 8

SPT(16)	1289361829153141091	0 50 80 102 110 122 132 192 260 320 330 342 350 372 402 452	-1729666259252
SPT(16)	1289362108730661703	0 40 70 114 126 136 148 150 154 156 168 178 190 234 264 304	-1450088738640
STPT(10)	1289362386171072947	0 2 24 26 42 44 60 62 84 86	-1172648327396
SPT(16)	1289362803496863919	0 18 40 48 64 118 120 130 162 172 174 228 244 252 274 292	-755322536424
STPT(12)	1289362865995022471	0 2 78 80 90 92 156 158 168 170 246 248	-692824377872
SPT(16)	1289363329351681427	0 2 42 54 72 104 140 152 204 216 252 284 302 314 354 356	-229467718916
SPT(16)	1289363860340403313	0 16 48 64 78 88 90 96 148 154 156 166 180 196 228 244	301521002970
STPT(10)	1289364043021424297	0 2 30 32 72 74 114 116 144 146	484202023954
SPT(16)	1289364083209117603	0 6 34 76 84 88 94 100 204 210 216 220 228 270 298 304	524389717260
TPT(14)	1289364253929251789	0 2 18 20 42 44 48 50 78 80 90 92 102 104	695109851446
STPT(10)	1289364316890012887	0 2 30 32 42 44 54 56 84 86	758070612544