Prime p₀= 2142123221069540411 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 40 122 22 20 6 42 70 42 6 20 22 122 40 8 (?)
a_n: 0 8 48 170 192 212 218 260 330 372 378 398 420 542 582 590
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: 590
Found by: Time_Traveler
db: batch=80, k=16, 8 40 122 22 20 6 42 70

SPT(18)	2142121757434041661	0 12 22 36 76 90 102 120 148 150 178 196 208 222 262 276 286 298	-1463635498750
SPT(16)	2142122465762450107	0 10 30 52 70 132 154 172 264 282 304 366 384 406 426 436	-755307090304
STPT(10)	2142122488960204571	0 2 6 8 18 20 30 32 36 38	-732109335840
SPT(16)	2142122653772116573	0 10 48 88 94 96 178 186 238 246 328 330 336 376 414 424	-567297423838
SPT(16)	2142122967407111971	0 28 66 102 106 120 126 168 340 382 388 402 406 442 480 508	-253662428440
SPT(16)	2142123196679629021	0 78 96 130 136 160 190 228 238 276 306 330 336 370 388 466	-24389911390
SPT(16)	2142123340673586091	0 42 72 90 106 112 160 162 196 198 246 252 268 286 316 358	119604045680
STPT(10)	2142123374559192851	0 2 30 32 78 80 126 128 156 158	153489652440
TPT(14)	2142123502684015349	0 2 42 44 48 50 78 80 90 92 120 122 210 212	281614474938
SPT(16)	2142123516762582799	0 24 84 112 118 150 154 180 202 228 232 264 270 298 358 382	295693042388
STPT(10)	2142123590179804667	0 2 60 62 102 104 144 146 204 206	369110264256