Prime p₀= 2124978523051926089 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 120 38 12 18 4 48 8 4 8 48 4 18 12 38 120 (?)
a_n: 0 120 158 170 188 192 240 248 252 260 308 312 330 342 380 500
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: 500
Found by: Landjunge
db: batch=80, k=16, 120 38 12 18 4 48 8 4

STPT(10)	2124975515366192297	0 2 30 32 42 44 54 56 84 86	-3007685733792
SPT(16)	2124976190189957779	0 30 42 54 78 114 154 160 162 168 208 244 268 280 292 322	-2332861968310
SPT(16)	2124976416407091503	0 26 44 90 110 126 144 156 254 266 284 300 320 366 384 410	-2106644834586
SPT(16)	2124976655865691699	0 4 40 70 78 100 114 130 222 238 252 274 282 312 348 352	-1867186234390
STPT(10)	2124976712065257437	0 2 72 74 102 104 132 134 204 206	-1810986668652
STPT(10)	2124977845129668071	0 2 6 8 48 50 90 92 96 98	-677922258018
STPT(10)	2124979040997062351	0 2 6 8 48 50 90 92 96 98	517945136262
STPT(10)	2124979530814234847	0 2 30 32 42 44 54 56 84 86	1007762308758
STPT(10)	2124979670609077019	0 2 12 14 90 92 168 170 180 182	1147557150930
SPT(16)	2124979749042291497	0 2 12 32 96 144 192 222 284 314 362 410 474 494 504 506	1225990365408
SPT(16)	2124980189511808637	0 2 32 50 92 126 152 210 236 294 320 354 396 414 444 446	1666459882548