Prime p₀= 2290563248883478073 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 4 56 30 40 14 58 50 58 14 40 30 56 4 26 (?)
a_n: 0 26 30 86 116 156 170 228 278 336 350 390 420 476 480 506
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: Landjunge
db: batch=81, k=16, 26 4 56 30 40 14 58 50

SPT(16)	2290562111176960717	0 10 52 76 82 160 214 222 244 252 306 384 390 414 456 466	-1137706517356
TPT(14)	2290562151893993687	0 2 54 56 90 92 132 134 150 152 210 212 222 224	-1096989484386
SPT(16)	2290562186869574897	0 6 12 56 86 116 140 144 152 156 180 210 240 284 290 296	-1062013903176
STPT(10)	2290562354681880437	0 2 54 56 72 74 90 92 144 146	-894201597636
SPT(16)	2290562503672009453	0 6 54 108 138 154 174 256 258 340 360 376 406 460 508 514	-745211468620
STPT(10)	2290562889281775137	0 2 30 32 42 44 54 56 84 86	-359601702936
TPT(14)	2290563380210204399	0 2 108 110 198 200 210 212 222 224 240 242 312 314	131326726326
TPT(14)	2290563454025204999	0 2 42 44 60 62 132 134 210 212 240 242 342 344	205141726926
SPT(16)	2290563657009597569	0 8 20 62 98 152 194 200 372 378 420 474 510 552 564 572	408126119496
SPT(16)	2290563676700403443	0 6 8 26 44 80 120 164 180 224 264 300 318 336 338 344	427816925370
STPT(10)	2290564241284235009	0 2 30 32 60 62 90 92 120 122	992400756936