Prime p₀= 2954739648793730657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 56 6 6 88 2 12 58 12 2 88 6 6 56 54 (?)
a_n: 0 54 110 116 122 210 212 224 282 294 296 384 390 396 452 506
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: 506
Found by: fzs600
db: batch=82, k=16, 54 56 6 6 88 2 12 58

SPT(16)	2954737310187888593	0 18 36 44 54 86 98 110 144 156 168 200 210 218 236 254	-2338605842064
STPT(10)	2954737346817485399	0 2 42 44 60 62 78 80 120 122	-2301976245258
SPT(16)	2954737394154549571	0 12 18 46 96 126 150 208 240 298 322 352 402 430 436 448	-2254639181086
STPT(10)	2954737999706779997	0 2 42 44 72 74 102 104 144 146	-1649086950660
STPT(10)	2954739172613737919	0 2 12 14 90 92 168 170 180 182	-476179992738
STPT(10)	2954739230404193357	0 2 30 32 72 74 114 116 144 146	-418389537300
SPT(16)	2954740015184243219	0 14 42 114 140 152 170 174 230 234 252 264 290 362 390 404	366390512562
STPT(10)	2954740405692895871	0 2 6 8 18 20 30 32 36 38	756899165214
STPT(10)	2954740553555602709	0 2 78 80 120 122 162 164 240 242	904761872052
SPT(16)	2954740794848357869	0 28 30 34 100 142 144 168 274 298 300 342 408 412 414 442	1146054627212
SPT(18)	2954740832315720719	0 12 22 52 82 112 120 124 150 292 318 322 330 360 390 420 430 442	1183521990062