Prime p₀= 805091725666826599 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 16 2 10 18 26 16 32 16 26 18 10 2 16 42 (?)
a_n: 0 42 58 60 70 88 114 130 162 178 204 222 232 234 250 292
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: 292
Found by: GLeeM
db: batch=73, k=16, 42 16 2 10 18 26 16 32

STPT(10)	805089256184653367	0 2 54 56 72 74 90 92 144 146	-2469482173232
TPT(14)	805089717671731559	0 2 12 14 42 44 132 134 222 224 240 242 270 272	-2007995095040
SPT(18)	805089751360818233	0 6 14 50 56 114 116 140 150 224 234 258 260 318 324 360 368 374	-1974306008366
SPT(16)	805089882512027003	0 8 36 68 80 108 114 156 218 260 266 294 306 338 366 374	-1843154799596
SPT(16)	805090569469311337	0 6 70 76 90 114 130 142 144 156 172 196 210 216 280 286	-1156197515262
SPT(16)	805091072389116013	0 54 78 96 144 156 184 210 244 270 298 310 358 376 400 454	-653277710586
SPT(16)	805091932639407181	0 6 28 52 60 70 82 130 138 186 198 208 216 240 262 268	206972580582
STPT(10)	805091950206694061	0 2 6 8 18 20 30 32 36 38	224539867462
SPT(18)	805092228849239189	0 18 78 80 92 140 150 174 218 234 278 302 312 360 372 374 434 452	503182412590
STPT(10)	805092247186970921	0 2 6 8 48 50 90 92 96 98	521520144322
STPT(10)	805092259426583039	0 2 18 20 30 32 42 44 60 62	533759756440