Prime p₀= 2290581597141072623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 2 6 24 16 20 66 4 66 20 16 24 6 2 36 (?)
a_n: 0 36 38 44 68 84 104 170 174 240 260 276 300 306 308 344
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: 344
Found by: Landjunge
db: batch=81, k=16, 36 2 6 24 16 20 66 4

SPT(16)	2290580344293544253	0 18 30 54 66 68 98 114 140 156 186 188 200 224 236 254	-1252847528370
STPT(10)	2290580578860497921	0 2 6 8 48 50 90 92 96 98	-1018280574702
STPT(10)	2290580990390673527	0 2 30 32 42 44 54 56 84 86	-606750399096
STPT(10)	2290581066133633487	0 2 30 32 42 44 54 56 84 86	-531007439136
SPT(16)	2290581149386844011	0 36 40 46 60 76 88 96 112 120 132 148 162 168 172 208	-447754228612
STPT(10)	2290581563075880161	0 2 6 8 48 50 90 92 96 98	-34065192462
SPT(16)	2290582069919583073	0 54 78 118 148 160 166 184 390 408 414 426 456 496 520 574	472778510450
SPT(16)	2290582469070797081	0 26 38 116 180 186 206 230 306 330 350 356 420 498 510 536	871929724458
SPT(16)	2290582736261400563	0 30 48 50 68 104 110 156 188 234 240 276 294 296 314 344	1139120327940
SPT(16)	2290582742526801353	0 30 50 56 98 170 210 228 278 296 336 408 450 456 476 506	1145385728730
TPT(14)	2290582803348529967	0 2 12 14 30 32 54 56 90 92 132 134 144 146	1206207457344