Prime p₀= 2449768518898898753 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 4 20 6 28 36 96 44 96 36 28 6 20 4 20 (?)
a_n: 0 20 24 44 50 78 114 210 254 350 386 414 420 440 444 464
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: 464
Found by: JayPi
db: batch=82, k=16, 20 4 20 6 28 36 96 44

SPT(16)	2449767211082318033	0 8 14 74 126 140 144 186 218 260 264 278 330 390 396 404	-1307816580720
STPT(10)	2449767331481883107	0 2 60 62 102 104 144 146 204 206	-1187417015646
STPT(10)	2449767404788830317	0 2 42 44 72 74 102 104 144 146	-1114110068436
SPT(16)	2449768133684079073	0 6 24 48 78 130 144 196 228 280 294 346 376 400 418 424	-385214819680
SPT(16)	2449768134999815881	0 18 42 58 60 72 130 132 136 138 196 208 210 226 250 268	-383899082872
STPT(10)	2449768211726109647	0 2 42 44 102 104 162 164 204 206	-307172789106
SPT(16)	2449768542901569823	0 10 58 70 94 96 118 136 138 156 178 180 204 216 264 274	24002671070
SPT(16)	2449768592841711227	0 50 80 114 132 140 144 150 224 230 234 242 260 294 324 374	73942812474
STPT(12)	2449768681842362849	0 2 138 140 150 152 180 182 192 194 330 332	162943464096
SPT(16)	2449769175599952539	0 12 20 50 60 62 78 102 218 242 258 260 270 300 308 320	656701053786
SPT(16)	2449769198411502857	0 36 86 134 162 170 236 240 266 270 336 344 372 420 470 506	679512604104