Prime p₀= 2258987382742478257 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 12 2 34 32 24 10 74 10 24 32 34 2 12 22 (?)
a_n: 0 22 34 36 70 102 126 136 210 220 244 276 310 312 324 346
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: 346
Found by: Landjunge
db: batch=81, k=16, 22 12 2 34 32 24 10 74

STPT(10)	2258984941094410469	0 2 48 50 90 92 132 134 180 182	-2441648067788
SPT(16)	2258985090944556167	0 30 36 72 102 114 134 140 156 162 182 194 224 260 266 296	-2291797922090
STPT(10)	2258985480257067227	0 2 12 14 42 44 72 74 84 86	-1902485411030
SPT(16)	2258986581276915823	0 34 78 100 138 156 180 198 376 394 418 436 474 496 540 574	-801465562434
STPT(10)	2258986637298377417	0 2 30 32 72 74 114 116 144 146	-745444100840
SPT(16)	2258987162554927879	0 22 34 64 88 130 138 144 148 154 162 204 228 258 270 292	-220187550378
SPT(16)	2258987403074387641	0 6 10 22 28 88 112 126 172 186 210 270 276 288 292 298	20331909384
STPT(10)	2258988083681213837	0 2 30 32 42 44 54 56 84 86	700938735580
STPT(10)	2258988091858071059	0 2 12 14 90 92 168 170 180 182	709115592802
SPT(16)	2258988158051789911	0 6 28 66 90 108 112 238 270 396 400 418 442 480 502 508	775309311654
SPT(16)	2258988158992181063	0 24 68 80 90 150 174 194 210 230 254 314 324 336 380 404	776249702806