Prime p₀= 2878694822932123597 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 12 20 28 72 26 40 26 40 26 72 28 20 12 52 (?)
a_n: 0 52 64 84 112 184 210 250 276 316 342 414 442 462 474 526
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: 526
Found by: Landjunge
db: batch=82, k=16, 52 12 20 28 72 26 40 26

STPT(10)	2878693704661640651	0 2 30 32 60 62 90 92 120 122	-1118270482946
STPT(10)	2878693788702567959	0 2 48 50 90 92 132 134 180 182	-1034229555638
SPT(16)	2878693974072626189	0 8 18 68 72 78 120 134 138 152 194 200 204 254 264 272	-848859497408
STPT(10)	2878694068219911839	0 2 18 20 30 32 42 44 60 62	-754712211758
SPT(16)	2878694069627585893	0 48 60 78 124 168 180 204 214 238 250 294 340 358 370 418	-753304537704
STPT(10)	2878694097409903427	0 2 54 56 72 74 90 92 144 146	-725522220170
SPT(16)	2878695099744500021	0 42 56 60 66 72 86 96 116 126 140 146 152 156 170 212	276812376424
SPT(16)	2878695235192304741	0 50 90 92 110 170 176 192 236 252 258 318 336 338 378 428	412260181144
STPT(10)	2878695362394189587	0 2 12 14 42 44 72 74 84 86	539462065990
SPT(16)	2878695512997781033	0 16 18 60 88 100 120 156 160 196 216 228 256 298 300 316	690065657436
SPT(16)	2878695681536735279	0 114 120 140 174 182 192 258 284 350 360 368 402 422 428 542	858604611682