Prime p₀= 2124530620389733019 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 58 26 4 38 28 80 46 80 28 38 4 26 58 14 (?)
a_n: 0 14 72 98 102 140 168 248 294 374 402 440 444 470 528 542
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: 542
Found by: Landjunge
db: batch=80, k=16, 14 58 26 4 38 28 80 46

SPT(16)	2124529669853642033	0 66 78 138 156 168 176 180 206 210 218 230 248 308 320 386	-950536090986
TPT(14)	2124529670861748089	0 2 42 44 132 134 168 170 198 200 288 290 300 302	-949527984930
SPT(16)	2124529678412864867	0 36 62 72 114 134 140 152 204 216 222 242 284 294 320 356	-941976868152
SPT(16)	2124529972472451751	0 12 16 18 28 88 102 126 142 166 180 240 250 252 256 268	-647917281268
STPT(10)	2124530225143451681	0 2 6 8 48 50 90 92 96 98	-395246281338
STPT(10)	2124530331350986367	0 2 30 32 42 44 54 56 84 86	-289038746652
SPT(16)	2124530801943542131	0 16 40 58 60 210 250 252 256 258 298 448 450 468 492 508	181553809112
SPT(16)	2124530871542812357	0 30 66 72 76 132 150 184 252 286 304 360 364 370 406 436	251153079338
SPT(18)	2124531564633665189	0 14 18 48 78 92 144 150 182 210 242 248 300 314 344 374 378 392	944243932170
SPT(16)	2124531807265153249	0 28 34 42 78 84 108 130 192 214 238 244 280 288 294 322	1186875420230
TPT(14)	2124532186799791511	0 2 30 32 78 80 240 242 276 278 306 308 378 380	1566410058492