Prime p₀= 4044945563453541667 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 36 2 42 48 6 16 6 48 42 2 36 12 34 (?)
a_n: 0 34 46 82 84 126 174 180 196 202 250 292 294 330 342 376
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: 376
Found by: Maurice Goulois
db: batch=84, k=16, 34 12 36 2 42 48 6 16

SPT(16)	4044943549485141617	0 6 12 30 72 110 116 152 174 210 216 254 296 314 320 326	-2013968400050
STPT(10)	4044943814558225627	0 2 42 44 72 74 102 104 144 146	-1748895316040
SPT(16)	4044943912314464981	0 6 56 66 92 98 108 162 176 230 240 246 272 282 332 338	-1651139076686
STPT(10)	4044944024144072837	0 2 60 62 72 74 84 86 144 146	-1539309468830
SPT(16)	4044944075386108963	0 18 28 90 120 124 126 186 238 298 300 304 334 396 406 424	-1488067432704
STPT(10)	4044945469251251309	0 2 42 44 90 92 138 140 180 182	-94202290358
STPT(10)	4044945869444214737	0 2 30 32 72 74 114 116 144 146	305990673070
SPT(16)	4044946692936239953	0 4 24 30 66 76 88 118 126 156 168 178 214 220 240 244	1129482698286
STPT(10)	4044946941025775789	0 2 12 14 90 92 168 170 180 182	1377572234122
STPT(10)	4044947096883404651	0 2 30 32 60 62 90 92 120 122	1533429862984
SPT(16)	4044947198993349619	0 12 42 78 84 90 180 204 208 232 322 328 334 370 400 412	1635539807952